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56514349760 = 26511127167757
BaseRepresentation
bin110100101000100001…
…001000101011000000
312101212120201102112012
4310220201020223000
51411220133143020
641543510352052
74040323022051
oct645041105300
9171776642465
1056514349760
1121a70971490
12ab5265b628
13543857625b
142a4198c728
15170b72c7c5
hexd28848ac0

56514349760 has 224 divisors, whose sum is σ = 149047492608. Its totient is φ = 20239994880.

The previous prime is 56514349753. The next prime is 56514349769. The reversal of 56514349760 is 6794341565.

It is a super-2 number, since 2×565143497602 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56514349699 and 56514349708.

It is not an unprimeable number, because it can be changed into a prime (56514349769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74655302 + ... + 74656058.

It is an arithmetic number, because the mean of its divisors is an integer number (665390592).

Almost surely, 256514349760 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 56514349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74523746304).

56514349760 is an abundant number, since it is smaller than the sum of its proper divisors (92533142848).

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

56514349760 is a wasteful number, since it uses less digits than its factorization.

56514349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 56514349760 in words is "fifty-six billion, five hundred fourteen million, three hundred forty-nine thousand, seven hundred sixty".