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5015538864 = 24327229127193
BaseRepresentation
bin1001010101111001…
…10000110010110000
3110221112121202212200
410222330300302300
540232434220424
62145404223200
7235201243200
oct45274606260
913845552780
105015538864
112144160646
12b7b83ab00
1361c13c59b
14358188400
151e54c58c9
hex12af30cb0

5015538864 has 360 divisors, whose sum is σ = 17112476160. Its totient is φ = 1365590016.

The previous prime is 5015538833. The next prime is 5015538881. The reversal of 5015538864 is 4688355105.

5015538864 is a `hidden beast` number, since 50 + 1 + 5 + 538 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25987152 + ... + 25987344.

It is an arithmetic number, because the mean of its divisors is an integer number (47534656).

Almost surely, 25015538864 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 5015538864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556238080).

5015538864 is an abundant number, since it is smaller than the sum of its proper divisors (12096937296).

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

5015538864 is a wasteful number, since it uses less digits than its factorization.

5015538864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5015538864 is about 70820.4692444211. The cubic root of 5015538864 is about 1711.7455203750.

The spelling of 5015538864 in words is "five billion, fifteen million, five hundred thirty-eight thousand, eight hundred sixty-four".