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56659341971232 = 253271113217889309
BaseRepresentation
bin11001110001000000001111…
…11100111000111100100000
321102121120122221221100111200
430320200013330320330200
524411301313021034412
6320300535315041200
714635334212261650
oct1470400774707440
9242546587840450
1056659341971232
1117065101489370
126430b62ba0200
13257cc50a34c00
14ddc4809a0360
15683c8d5369dc
hex338807f38f20

56659341971232 has 864 divisors, whose sum is σ = 230320134495360. Its totient is φ = 12785545543680.

The previous prime is 56659341971231. The next prime is 56659341971339. The reversal of 56659341971232 is 23217914395665.

56659341971232 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 93 + 419 + 7 + 123 + 2 = 666.

It is a super-2 number, since 2×566593419712322 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 56659341971232.

It is not an unprimeable number, because it can be changed into a prime (56659341971231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63266994 + ... + 64156302.

It is an arithmetic number, because the mean of its divisors is an integer number (266574229740).

Almost surely, 256659341971232 is an apocalyptic number.

56659341971232 is a gapful number since it is divisible by the number (52) 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 56659341971232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115160067247680).

56659341971232 is an abundant number, since it is smaller than the sum of its proper divisors (173660792524128).

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

56659341971232 is a wasteful number, since it uses less digits than its factorization.

56659341971232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889386 (or 889362 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 56659341971232 in words is "fifty-six trillion, six hundred fifty-nine billion, three hundred forty-one million, nine hundred seventy-one thousand, two hundred thirty-two".