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1056116656655 = 517223914272143
BaseRepresentation
bin11110101111001010111…
…01010100101000001111
310201222000120210221121222
433113211131110220033
5114300411331003110
62125101233113555
7136205361315014
oct17274535245017
93658016727558
101056116656655
11377995357695
121508233b88bb
137878c32a518
143918b27170b
151c7130d8c55
hexf5e5754a0f

1056116656655 has 48 divisors (see below), whose sum is σ = 1353486274560. Its totient is φ = 790942376448.

The previous prime is 1056116656633. The next prime is 1056116656687. The reversal of 1056116656655 is 5566566116501.

It is not a de Polignac number, because 1056116656655 - 212 = 1056116652559 is a prime.

It is a super-2 number, since 2×10561166566552 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056116656597 and 1056116656606.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 492820514 + ... + 492822656.

It is an arithmetic number, because the mean of its divisors is an integer number (28197630720).

Almost surely, 21056116656655 is an apocalyptic number.

1056116656655 is a deficient number, since it is larger than the sum of its proper divisors (297369617905).

1056116656655 is a wasteful number, since it uses less digits than its factorization.

1056116656655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 53.

The spelling of 1056116656655 in words is "one trillion, fifty-six billion, one hundred sixteen million, six hundred fifty-six thousand, six hundred fifty-five".

Divisors: 1 5 17 85 239 289 1195 1427 1445 2143 4063 7135 10715 20315 24259 36431 69071 121295 182155 341053 345355 412403 512177 619327 1705265 2062015 2560885 3058061 3096635 5797901 8707009 15290305 28989505 43535045 51987037 98564317 148019153 259935185 492821585 730876579 740095765 883779629 3654382895 4418898145 12424901843 62124509215 211223331331 1056116656655