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10164542364 = 2233585716069
BaseRepresentation
bin10010111011101101…
…01001101110011100
3222020101101020211000
421131312221232130
5131304110323424
64400341230300
7506613120204
oct113566515634
928211336730
1010164542364
11434668a139
121b78102390
13c5cb0b612
146c5d55404
153e75613c9
hex25dda9b9c

10164542364 has 48 divisors (see below), whose sum is σ = 26358656800. Its totient is φ = 3387391488.

The previous prime is 10164542351. The next prime is 10164542393. The reversal of 10164542364 is 46324546101.

10164542364 is a `hidden beast` number, since 1 + 0 + 1 + 645 + 4 + 2 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624522 + ... + 640590.

Almost surely, 210164542364 is an apocalyptic number.

It is an amenable number.

10164542364 is an abundant number, since it is smaller than the sum of its proper divisors (16194114436).

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

10164542364 is a wasteful number, since it uses less digits than its factorization.

10164542364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21939 (or 21931 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10164542364 in words is "ten billion, one hundred sixty-four million, five hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 5857 11714 16069 17571 23428 32138 35142 48207 52713 64276 70284 96414 105426 144621 158139 192828 210852 289242 316278 433863 578484 632556 867726 1735452 94116133 188232266 282348399 376464532 564696798 847045197 1129393596 1694090394 2541135591 3388180788 5082271182 10164542364