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27173995168 = 2517194361141
BaseRepresentation
bin11001010011101100…
…100100001010100000
32121010210122222112111
4121103230210022200
5421123020321133
620252241005104
71651253101465
oct312354441240
977123588474
1027173995168
1110585014851
125324623794
132740a614a8
14145adb566c
15a909a41cd
hex653b242a0

27173995168 has 96 divisors (see below), whose sum is σ = 61014824640. Its totient is φ = 11832791040.

The previous prime is 27173995133. The next prime is 27173995171. The reversal of 27173995168 is 86159937172.

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, 413878 + ... + 475018.

It is an arithmetic number, because the mean of its divisors is an integer number (635571090).

Almost surely, 227173995168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27173995168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30507412320).

27173995168 is an abundant number, since it is smaller than the sum of its proper divisors (33840829472).

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

27173995168 is a wasteful number, since it uses less digits than its factorization.

27173995168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61230 (or 61222 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 58.

The spelling of 27173995168 in words is "twenty-seven billion, one hundred seventy-three million, nine hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 43 68 76 86 136 152 172 272 304 323 344 544 608 646 688 731 817 1292 1376 1462 1634 2584 2924 3268 5168 5848 6536 10336 11696 13072 13889 23392 26144 27778 55556 61141 111112 122282 222224 244564 444448 489128 978256 1039397 1161679 1956512 2078794 2323358 2629063 4157588 4646716 5258126 8315176 9293432 10516252 16630352 18586864 19748543 21032504 33260704 37173728 39497086 42065008 44694071 49952197 78994172 84130016 89388142 99904394 157988344 178776284 199808788 315976688 357552568 399617576 631953376 715105136 799235152 849187349 1430210272 1598470304 1698374698 3396749396 6793498792 13586997584 27173995168