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56345602644 = 223661316769
BaseRepresentation
bin110100011110011101…
…011010101001010100
312101102211012012000000
4310132131122221110
51410343433241034
641515041451300
74033203502002
oct643635325124
9171384165000
1056345602644
1121994695261
12ab06040b30
13540c6122a6
142a273c3a72
1516eb9e8599
hexd1e75aa54

56345602644 has 84 divisors (see below), whose sum is σ = 150263650740. Its totient is φ = 18473909760.

The previous prime is 56345602639. The next prime is 56345602657. The reversal of 56345602644 is 44620654365.

It is a happy number.

56345602644 is a `hidden beast` number, since 5 + 6 + 34 + 5 + 602 + 6 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4046486544 + 52299116100 = 63612^2 + 228690^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56345602644.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 19492 + ... + 336260.

It is an arithmetic number, because the mean of its divisors is an integer number (1788852985).

Almost surely, 256345602644 is an apocalyptic number.

56345602644 is a gapful number since it is divisible by the number (54) 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 56345602644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75131825370).

56345602644 is an abundant number, since it is smaller than the sum of its proper divisors (93918048096).

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

56345602644 is a wasteful number, since it uses less digits than its factorization.

56345602644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316852 (or 316835 counting only the distinct ones).

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

The spelling of 56345602644 in words is "fifty-six billion, three hundred forty-five million, six hundred two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 729 732 972 1098 1458 1647 2196 2916 3294 4941 6588 9882 14823 19764 29646 44469 59292 88938 177876 316769 633538 950307 1267076 1900614 2850921 3801228 5701842 8552763 11403684 17105526 19322909 25658289 34211052 38645818 51316578 57968727 76974867 77291636 102633156 115937454 153949734 173906181 230924601 231874908 307899468 347812362 461849202 521718543 695624724 923698404 1043437086 1565155629 2086874172 3130311258 4695466887 6260622516 9390933774 14086400661 18781867548 28172801322 56345602644