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1056052066256 = 241121133618461
BaseRepresentation
bin11110101111000011001…
…10111011011111010000
310201221212002021102020222
433113201212323133100
5114300243312110011
62125051004452212
7136203645311555
oct17274146733720
93657762242228
101056052066256
113779619509a0
1215080584a068
137877bb34055
143918285aa2c
151c70c5caddb
hexf5e19bb7d0

1056052066256 has 80 divisors (see below), whose sum is σ = 2243621178816. Its totient is φ = 477550080000.

The previous prime is 1056052066249. The next prime is 1056052066271. The reversal of 1056052066256 is 6526602506501.

It is a super-2 number, since 2×10560520662562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124809866 + ... + 124818326.

Almost surely, 21056052066256 is an apocalyptic number.

1056052066256 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 1056052066256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121810589408).

1056052066256 is an abundant number, since it is smaller than the sum of its proper divisors (1187569112560).

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

1056052066256 is a wasteful number, since it uses less digits than its factorization.

1056052066256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12052 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 1056052066256 in words is "one trillion, fifty-six billion, fifty-two million, sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 211 422 844 1688 2321 3361 3376 4642 6722 8461 9284 13444 16922 18568 26888 33844 36971 37136 53776 67688 73942 93071 135376 147884 186142 295768 372284 591536 709171 744568 1418342 1489136 1785271 2836684 3570542 5673368 7141084 7800881 11346736 14282168 15601762 19637981 28437421 28564336 31203524 39275962 56874842 62407048 78551924 113749684 124814096 157103848 227499368 312811631 314207696 454998736 625623262 1251246524 2502493048 5004986096 6000295831 12000591662 24001183324 48002366648 66003254141 96004733296 132006508282 264013016564 528026033128 1056052066256