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51316392960 = 2103257236917
BaseRepresentation
bin101111110010101100…
…100000010000000000
311220110022211212021200
4233302230200100000
51320043444033320
635324024221200
73464445100050
oct576254402000
9156408755250
1051316392960
111a843847618
129b4190a800
134aba6c7381
1426ab4bb560
151505222290
hexbf2b20400

51316392960 has 528 divisors, whose sum is σ = 212077322496. Its totient is φ = 11217862656.

The previous prime is 51316392949. The next prime is 51316393013. The reversal of 51316392960 is 6929361315.

51316392960 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 639 + 2 + 9 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7415422 + ... + 7422338.

Almost surely, 251316392960 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 51316392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106038661248).

51316392960 is an abundant number, since it is smaller than the sum of its proper divisors (160760929536).

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

51316392960 is a wasteful number, since it uses less digits than its factorization.

51316392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 51316392960 in words is "fifty-one billion, three hundred sixteen million, three hundred ninety-two thousand, nine hundred sixty".