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1056105061056 = 26324739010973
BaseRepresentation
bin11110101111001001100…
…01000101101011000000
310201221222202222211110100
433113210301011223000
5114300400343423211
62125100140402400
7136205160621423
oct17274461055300
93657882884410
101056105061056
11377989857751
1215081b546400
1378789aca616
14391898d39ba
151c712098156
hexf5e4c45ac0

1056105061056 has 84 divisors (see below), whose sum is σ = 3091541667552. Its totient is φ = 344544904704.

The previous prime is 1056105061049. The next prime is 1056105061061. The reversal of 1056105061056 is 6501605016501.

It is a super-2 number, since 2×10561050610562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1056105061056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19478415 + ... + 19532558.

Almost surely, 21056105061056 is an apocalyptic number.

1056105061056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1056105061056 is an abundant number, since it is smaller than the sum of its proper divisors (2035436606496).

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

1056105061056 is a wasteful number, since it uses less digits than its factorization.

1056105061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39011038 (or 39011025 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1056105061056 in words is "one trillion, fifty-six billion, one hundred five million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3384 4512 6768 9024 13536 27072 39010973 78021946 117032919 156043892 234065838 312087784 351098757 468131676 624175568 702197514 936263352 1248351136 1404395028 1833515731 1872526704 2496702272 2808790056 3667031462 3745053408 5500547193 5617580112 7334062924 7490106816 11001094386 11235160224 14668125848 16501641579 22002188772 22470320448 29336251696 33003283158 44004377544 58672503392 66006566316 88008755088 117345006784 132013132632 176017510176 264026265264 352035020352 528052530528 1056105061056