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5095905984 = 2632132931757
BaseRepresentation
bin1001011111011110…
…10101101011000000
3111011010211211211200
410233233111223000
540414022442414
62201354541200
7240165325521
oct45757255300
914133754750
105095905984
112185562654
12ba2737800
1363299aab0
14364b08848
151ec59d109
hex12fbd5ac0

5095905984 has 336 divisors, whose sum is σ = 16819595520. Its totient is φ = 1463132160.

The previous prime is 5095905977. The next prime is 5095905989. The reversal of 5095905984 is 4895095905.

5095905984 is a `hidden beast` number, since 509 + 5 + 9 + 0 + 59 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5095905984.

It is not an unprimeable number, because it can be changed into a prime (5095905989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6731334 + ... + 6732090.

It is an arithmetic number, because the mean of its divisors is an integer number (50058320).

Almost surely, 25095905984 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 5095905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409797760).

5095905984 is an abundant number, since it is smaller than the sum of its proper divisors (11723689536).

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

5095905984 is a wasteful number, since it uses less digits than its factorization.

5095905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The square root of 5095905984 is about 71385.6146853132. The cubic root of 5095905984 is about 1720.8399070801.

The spelling of 5095905984 in words is "five billion, ninety-five million, nine hundred five thousand, nine hundred eighty-four".