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5160255975 = 325274497297
BaseRepresentation
bin1001100111001001…
…10100000111100111
3111022121221011102200
410303210310013213
541032011142400
62212014105543
7241606311030
oct46344640747
914277834380
105160255975
112208914766
1210001ab2b3
1364310ba04
1436d499a87
1520305eb00
hex1339341e7

5160255975 has 72 divisors (see below), whose sum is σ = 10587938400. Its totient is φ = 2353397760.

The previous prime is 5160255967. The next prime is 5160256043. The reversal of 5160255975 is 5795520615.

5160255975 is a `hidden beast` number, since 51 + 6 + 0 + 2 + 5 + 597 + 5 = 666.

It is not a de Polignac number, because 5160255975 - 23 = 5160255967 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5160255975.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 703527 + ... + 710823.

It is an arithmetic number, because the mean of its divisors is an integer number (147054700).

Almost surely, 25160255975 is an apocalyptic number.

5160255975 is an abundant number, since it is smaller than the sum of its proper divisors (5427682425).

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

5160255975 is a wasteful number, since it uses less digits than its factorization.

5160255975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The square root of 5160255975 is about 71834.9216955096. The cubic root of 5160255975 is about 1728.0530934288.

The spelling of 5160255975 in words is "five billion, one hundred sixty million, two hundred fifty-five thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 449 525 1347 1575 2245 3143 4041 6735 7297 9429 11225 15715 20205 21891 28287 33675 36485 47145 51079 65673 78575 101025 109455 141435 153237 182425 235725 255395 328365 459711 547275 707175 766185 1276975 1641825 2298555 3276353 3830925 9829059 11492775 16381765 22934471 29487177 49145295 68803413 81908825 114672355 147435885 206410239 245726475 344017065 573361775 737179425 1032051195 1720085325 5160255975