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11796059131056 = 2433191607894301
BaseRepresentation
bin1010101110100111101111…
…1010100000110010110000
31112202200200122100112102000
42223221323322200302300
53021231312114143211
641031011301254000
72325144225146454
oct253517372406260
945680618315360
1011796059131056
113838753947522
1213a61a4404300
13677495ab35c5
142cad0a37a664
15156c98a06656
hexaba7bea0cb0

11796059131056 has 160 divisors (see below), whose sum is σ = 35663332876800. Its totient is φ = 3722749113600.

The previous prime is 11796059130983. The next prime is 11796059131127. The reversal of 11796059131056 is 65013195069711.

11796059131056 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 605 + 9 + 13 + 10 + 5 + 6 = 666.

It is a super-2 number, since 2×117960591310562 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11796059130993 and 11796059131011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12743106 + ... + 13637406.

It is an arithmetic number, because the mean of its divisors is an integer number (222895830480).

Almost surely, 211796059131056 is an apocalyptic number.

11796059131056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11796059131056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831666438400).

11796059131056 is an abundant number, since it is smaller than the sum of its proper divisors (23867273745744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11796059131056 is a wasteful number, since it uses less digits than its factorization.

11796059131056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895944 (or 895932 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 11796059131056 in words is "eleven trillion, seven hundred ninety-six billion, fifty-nine million, one hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 1607 2052 2736 3214 4104 4821 6428 8208 9642 12856 14463 19284 25712 28926 30533 38568 43389 57852 61066 77136 86778 91599 115704 122132 173556 183198 231408 244264 274797 347112 366396 488528 549594 694224 732792 824391 894301 1099188 1465584 1648782 1788602 2198376 2682903 3297564 3577204 4396752 5365806 6595128 7154408 8048709 10731612 13190256 14308816 16097418 16991719 21463224 24146127 32194836 33983438 42926448 48292254 50975157 64389672 67966876 96584508 101950314 128779344 135933752 152925471 193169016 203900628 271867504 305850942 386338032 407801256 458776413 611701884 815602512 917552826 1223403768 1437141707 1835105652 2446807536 2874283414 3670211304 4311425121 5748566828 7340422608 8622850242 11497133656 12934275363 17245700484 22994267312 25868550726 27305692433 34491400968 38802826089 51737101452 54611384866 68982801936 77605652178 81917077299 103474202904 109222769732 155211304356 163834154598 206948405808 218445539464 245751231897 310422608712 327668309196 436891078928 491502463794 620845217424 655336618392 737253695691 983004927588 1310673236784 1474507391382 1966009855176 2949014782764 3932019710352 5898029565528 11796059131056