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52314439680 = 21637573
BaseRepresentation
bin110000101110001011…
…110000000000000000
312000000212211220000000
4300232023300000000
51324114444032210
640011040000000
73531254254206
oct605613600000
9160025756000
1052314439680
1120206156918
12a180000000
134c193cc469
142763c7b076
151562b69ac0
hexc2e2f0000

52314439680 has 544 divisors, whose sum is σ = 190881318720. Its totient is φ = 13759414272.

The previous prime is 52314439669. The next prime is 52314439703. The reversal of 52314439680 is 8693441325.

52314439680 is a `hidden beast` number, since 523 + 1 + 4 + 43 + 9 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716636124 + ... + 716636196.

Almost surely, 252314439680 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 52314439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95440659360).

52314439680 is an abundant number, since it is smaller than the sum of its proper divisors (138566879040).

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

52314439680 is an frugal number, since it uses more digits than its factorization.

52314439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 52314439680 in words is "fifty-two billion, three hundred fourteen million, four hundred thirty-nine thousand, six hundred eighty".