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556656104544 = 253232161116663
BaseRepresentation
bin10000001100110110100…
…10100001010001100000
31222012211022200000202220
420012123102201101200
533110012430321134
61103420240111040
755134312550611
oct10063322412140
91865738600686
10556656104544
111a509294a3a1
128ba73005480
1340652b96ca7
141cd29951c08
15e72ea12149
hex819b4a1460

556656104544 has 96 divisors (see below), whose sum is σ = 1525472331264. Its totient is φ = 177400903680.

The previous prime is 556656104539. The next prime is 556656104549. The reversal of 556656104544 is 445401656655.

It is an interprime number because it is at equal distance from previous prime (556656104539) and next prime (556656104549).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5566561045442 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556656104549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4713157 + ... + 4829819.

It is an arithmetic number, because the mean of its divisors is an integer number (15890336784).

Almost surely, 2556656104544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556656104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762736165632).

556656104544 is an abundant number, since it is smaller than the sum of its proper divisors (968816226720).

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

556656104544 is a wasteful number, since it uses less digits than its factorization.

556656104544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118860 (or 118852 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 556656104544 in words is "five hundred fifty-six billion, six hundred fifty-six million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2161 2208 4322 6483 8644 12966 17288 25932 34576 49703 51864 69152 99406 103728 116663 149109 198812 207456 233326 298218 349989 397624 466652 596436 699978 795248 933304 1192872 1399956 1590496 1866608 2385744 2683249 2799912 3733216 4771488 5366498 5599824 8049747 10732996 11199648 16099494 21465992 32198988 42931984 64397976 85863968 128795952 252108743 257591904 504217486 756326229 1008434972 1512652458 2016869944 3025304916 4033739888 5798501089 6050609832 8067479776 11597002178 12101219664 17395503267 23194004356 24202439328 34791006534 46388008712 69582013068 92776017424 139164026136 185552034848 278328052272 556656104544