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10164542557 = 137375714149
BaseRepresentation
bin10010111011101101…
…01001110001011101
3222020101101021002011
421131312221301131
5131304110330212
64400341231221
7506613120601
oct113566516135
928211337064
1010164542557
11434668a2a4
121b78102511
13c5cb0b730
146c5d55501
153e75614a7
hex25dda9c5d

10164542557 has 16 divisors (see below), whose sum is σ = 11111825200. Its totient is φ = 9241247232.

The previous prime is 10164542533. The next prime is 10164542623. The reversal of 10164542557 is 75524546101.

It can be written as a sum of positive squares in 8 ways, for example, as 272052036 + 9892490521 = 16494^2 + 99461^2 .

It is a cyclic number.

It is not a de Polignac number, because 10164542557 - 219 = 10164018269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164549557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711319 + ... + 725467.

It is an arithmetic number, because the mean of its divisors is an integer number (694489075).

Almost surely, 210164542557 is an apocalyptic number.

It is an amenable number.

10164542557 is a deficient number, since it is larger than the sum of its proper divisors (947282643).

10164542557 is a wasteful number, since it uses less digits than its factorization.

10164542557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14992.

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 10164542557 in words is "ten billion, one hundred sixty-four million, five hundred forty-two thousand, five hundred fifty-seven".

Divisors: 1 13 73 757 949 9841 14149 55261 183937 718393 1032877 10710793 13427401 139240309 781887889 10164542557