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56624242356 = 223211142990511
BaseRepresentation
bin110100101111000100…
…010101111010110100
312102011020111112211100
4310233010111322310
51411431301223411
642002434010100
74043126055453
oct645704257264
9172136445740
1056624242356
11220179aa410
12ab83416930
135455271766
142a523d6b9a
1517161d8456
hexd2f115eb4

56624242356 has 36 divisors (see below), whose sum is σ = 156145639104. Its totient is φ = 17158861200.

The previous prime is 56624242313. The next prime is 56624242357. The reversal of 56624242356 is 65324242665.

56624242356 is a `hidden beast` number, since 56 + 6 + 2 + 4 + 242 + 356 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56624242357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71494860 + ... + 71495651.

It is an arithmetic number, because the mean of its divisors is an integer number (4337378864).

Almost surely, 256624242356 is an apocalyptic number.

It is an amenable number.

56624242356 is an abundant number, since it is smaller than the sum of its proper divisors (99521396748).

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

56624242356 is a wasteful number, since it uses less digits than its factorization.

56624242356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142990532 (or 142990527 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 56624242356 in words is "fifty-six billion, six hundred twenty-four million, two hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 142990511 285981022 428971533 571962044 857943066 1286914599 1572895621 1715886132 2573829198 3145791242 4718686863 5147658396 6291582484 9437373726 14156060589 18874747452 28312121178 56624242356