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75085058057 = 17293115313209
BaseRepresentation
bin100010111101101101…
…0110001000000001001
321011210210210011011012
41011323122301000021
52212233233324212
654254341213305
75265451314542
oct1057332610011
9234723704135
1075085058057
1129930615499
1212675a01235
137107ab7949
1438c40d94c9
151e46c69922
hex117b6b1009

75085058057 has 32 divisors (see below), whose sum is σ = 84978201600. Its totient is φ = 65966745600.

The previous prime is 75085058033. The next prime is 75085058071.

It is a happy number.

75085058057 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75085058057 - 218 = 75084795913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75085057996 and 75085058014.

It is not an unprimeable number, because it can be changed into a prime (75085058357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23396669 + ... + 23399877.

It is an arithmetic number, because the mean of its divisors is an integer number (2655568800).

Almost surely, 275085058057 is an apocalyptic number.

It is an amenable number.

75085058057 is a deficient number, since it is larger than the sum of its proper divisors (9893143543).

75085058057 is a wasteful number, since it uses less digits than its factorization.

75085058057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817.

The product of its (nonzero) digits is 1960000, while the sum is 50.

The spelling of 75085058057 in words is "seventy-five billion, eighty-five million, fifty-eight thousand, fifty-seven".

Divisors: 1 17 29 31 493 527 899 1531 3209 15283 26027 44399 47461 54553 93061 99479 754783 806837 1376369 1582037 1691143 2884891 4912979 23398273 49043147 83520643 142476391 152302349 2422098647 2589139933 4416768121 75085058057