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11252066059056 = 24317371732154241
BaseRepresentation
bin1010001110111101001101…
…1001101000001100110000
31110211200112211102012122110
42203233103121220030300
52433323212402342211
635533043334005320
72240635454266014
oct243572331501460
943750484365573
1011252066059056
113648a79a49989
1213188861a6840
136380b05490a4
142ac86251a544
15147a5aa83ea6
hexa3bd3668330

11252066059056 has 160 divisors (see below), whose sum is σ = 31792268968128. Its totient is φ = 3414797844480.

The previous prime is 11252066059007. The next prime is 11252066059111. The reversal of 11252066059056 is 65095066025211.

It is a super-2 number, since 2×112520660590562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11252066058996 and 11252066059014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146096 + ... + 6300336.

Almost surely, 211252066059056 is an apocalyptic number.

11252066059056 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 11252066059056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896134484064).

11252066059056 is an abundant number, since it is smaller than the sum of its proper divisors (20540202909072).

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

11252066059056 is a wasteful number, since it uses less digits than its factorization.

11252066059056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154479 (or 2154473 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 11252066059056 in words is "eleven trillion, two hundred fifty-two billion, sixty-six million, fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 173 204 222 272 296 346 408 444 519 592 629 692 816 888 1038 1258 1384 1776 1887 2076 2516 2768 2941 3774 4152 5032 5882 6401 7548 8304 8823 10064 11764 12802 15096 17646 19203 23528 25604 30192 35292 38406 47056 51208 70584 76812 102416 108817 141168 153624 217634 307248 326451 435268 652902 870536 1305804 1741072 2154241 2611608 4308482 5223216 6462723 8616964 12925446 17233928 25850892 34467856 36622097 51701784 73244194 79706917 103403568 109866291 146488388 159413834 219732582 239120751 292976776 318827668 372683693 439465164 478241502 585953552 637655336 745367386 878930328 956483004 1118051079 1275310672 1355017589 1490734772 1757860656 1912966008 2236102158 2710035178 2981469544 3825932016 4065052767 4472204316 5420070356 5962939088 6335622781 8130105534 8944408632 10840140712 12671245562 13789296641 16260211068 17888817264 19006868343 21680281424 25342491124 27578593282 32520422136 38013736686 41367889923 50684982248 55157186564 65040844272 76027473372 82735779846 101369964496 110314373128 152054946744 165471559692 220628746256 234418042897 304109893488 330943119384 468836085794 661886238768 703254128691 937672171588 1406508257382 1875344343176 2813016514764 3750688686352 5626033029528 11252066059056