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51731483616 = 253217193117939
BaseRepresentation
bin110000001011011011…
…111100101111100000
311221112020220122121200
4300023123330233200
51321421224433431
635433133121200
73510645232641
oct601333745740
9157466818550
1051731483616
111aa3708a34a
12a038929200
134b556c0647
14270a68d6c8
15152b8b6ee6
hexc0b6fcbe0

51731483616 has 288 divisors, whose sum is σ = 169261747200. Its totient is φ = 14878494720.

The previous prime is 51731483549. The next prime is 51731483677. The reversal of 51731483616 is 61638413715.

51731483616 is a `hidden beast` number, since 5 + 17 + 3 + 14 + 8 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×517314836162 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2874775 + ... + 2892713.

It is an arithmetic number, because the mean of its divisors is an integer number (587714400).

Almost surely, 251731483616 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 51731483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630873600).

51731483616 is an abundant number, since it is smaller than the sum of its proper divisors (117530263584).

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

51731483616 is a wasteful number, since it uses less digits than its factorization.

51731483616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18022 (or 18011 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 51731483616 in words is "fifty-one billion, seven hundred thirty-one million, four hundred eighty-three thousand, six hundred sixteen".