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11079913152 = 263711749453
BaseRepresentation
bin10100101000110101…
…00000111011000000
31001121011210220110210
422110122200323000
5140142424210102
65031240554120
7541366464540
oct122432407300
931534726423
1011079913152
11477635a820
122192782940
131077657339
14771753320
1544cac736c
hex2946a0ec0

11079913152 has 112 divisors (see below), whose sum is σ = 36549372672. Its totient is φ = 2877895680.

The previous prime is 11079913127. The next prime is 11079913189. The reversal of 11079913152 is 25131997011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11079913152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359943 + ... + 389510.

Almost surely, 211079913152 is an apocalyptic number.

11079913152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11079913152 is an abundant number, since it is smaller than the sum of its proper divisors (25469459520).

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

11079913152 is a wasteful number, since it uses less digits than its factorization.

11079913152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749486 (or 749476 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 39.

The spelling of 11079913152 in words is "eleven billion, seventy-nine million, nine hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 749453 1498906 2248359 2997812 4496718 5246171 5995624 8243983 8993436 10492342 11991248 15738513 16487966 17986872 20984684 23982496 24731949 31477026 32975932 35973744 41969368 47964992 49463898 57707881 62954052 65951864 71947488 83938736 98927796 115415762 125908104 131903728 143894976 167877472 173123643 197855592 230831524 251816208 263807456 335754944 346247286 395711184 461663048 503632416 527614912 692494572 791422368 923326096 1007264832 1384989144 1582844736 1846652192 2769978288 3693304384 5539956576 11079913152