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56655523872 = 25362428649
BaseRepresentation
bin110100110000111011…
…101011000000100000
312102020102100211000000
4310300323223000200
51412012303230442
642005512300000
74043656002303
oct646073530040
9172212324000
1056655523872
1122033625702
12ab919a1600
13545b8a4b2c
142a5661ab3a
151718d16d4c
hexd30eeb020

56655523872 has 84 divisors (see below), whose sum is σ = 167234410350. Its totient is φ = 18885166848.

The previous prime is 56655523823. The next prime is 56655523877. The reversal of 56655523872 is 27832555665.

It is a happy number.

56655523872 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 552 + 3 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55584663696 + 1070860176 = 235764^2 + 32724^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56655523877) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1190997 + ... + 1237652.

Almost surely, 256655523872 is an apocalyptic number.

It is an amenable number.

56655523872 is an abundant number, since it is smaller than the sum of its proper divisors (110578886478).

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

56655523872 is an equidigital number, since it uses as much as digits as its factorization.

56655523872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428677 (or 2428654 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 56655523872 in words is "fifty-six billion, six hundred fifty-five million, five hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 2428649 4857298 7285947 9714596 14571894 19429192 21857841 29143788 38858384 43715682 58287576 65573523 77716768 87431364 116575152 131147046 174862728 196720569 233150304 262294092 349725456 393441138 524588184 590161707 699450912 786882276 1049176368 1180323414 1573764552 1770485121 2098352736 2360646828 3147529104 3540970242 4721293656 6295058208 7081940484 9442587312 14163880968 18885174624 28327761936 56655523872