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56156521344 = 27372111811499
BaseRepresentation
bin110100010011001100…
…001000001110000000
312100221122101212012220
4310103030020032000
51410002032140334
641444205051040
74025416361400
oct642314101600
9170848355186
1056156521344
11218a798a720
12aa72856a80
1353ac3aba71
142a0a244800
1516da0e9449
hexd13308380

56156521344 has 384 divisors, whose sum is σ = 190466640000. Its totient is φ = 14495846400.

The previous prime is 56156521331. The next prime is 56156521363. The reversal of 56156521344 is 44312565165.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56156521296 and 56156521305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37461907 + ... + 37463405.

It is an arithmetic number, because the mean of its divisors is an integer number (496006875).

Almost surely, 256156521344 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 56156521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95233320000).

56156521344 is an abundant number, since it is smaller than the sum of its proper divisors (134310118656).

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

56156521344 is a wasteful number, since it uses less digits than its factorization.

56156521344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1703 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 56156521344 in words is "fifty-six billion, one hundred fifty-six million, five hundred twenty-one thousand, three hundred forty-four".