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5086137888 = 2532131358477
BaseRepresentation
bin1001011110010100…
…00100111000100000
3111010110110120112100
410233022010320200
540404022403023
62200405330400
7240016313226
oct45712047040
914113416470
105086137888
11217aaa0747
12b9b406a00
1363095a960
143636c4b16
151eb7bdc43
hex12f284e20

5086137888 has 72 divisors (see below), whose sum is σ = 15576308748. Its totient is φ = 1564964352.

The previous prime is 5086137779. The next prime is 5086137907. The reversal of 5086137888 is 8887316805.

It is a happy number.

5086137888 is a `hidden beast` number, since 508 + 61 + 3 + 78 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5065453584 + 20684304 = 71172^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 675495 + ... + 682982.

Almost surely, 25086137888 is an apocalyptic number.

It is an amenable number.

5086137888 is an abundant number, since it is smaller than the sum of its proper divisors (10490170860).

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

5086137888 is a wasteful number, since it uses less digits than its factorization.

5086137888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358506 (or 1358495 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 5086137888 is about 71317.1640490562. The cubic root of 5086137888 is about 1719.7396721563.

The spelling of 5086137888 in words is "five billion, eighty-six million, one hundred thirty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1358477 2716954 4075431 5433908 8150862 10867816 12226293 16301724 17660201 21735632 24452586 32603448 35320402 43471264 48905172 52980603 65206896 70640804 97810344 105961206 130413792 141281608 158941809 195620688 211922412 282563216 317883618 391241376 423844824 565126432 635767236 847689648 1271534472 1695379296 2543068944 5086137888