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164462256162456 = 2337329688910627
BaseRepresentation
bin100101011001001111011010…
…010110111000011010011000
3210120022102211101220211222120
4211121033122112320122120
5133024022200034144311
61341440530101021240
746433002010634000
oct4531173226703230
9716272741824876
10164462256162456
114844806209957a
1216541a789b4820
13709c955122035
142c88030ddb000
15140309258b706
hex9593da5b8698

164462256162456 has 128 divisors (see below), whose sum is σ = 496015652160000. Its totient is φ = 45368898185856.

The previous prime is 164462256162403. The next prime is 164462256162461. The reversal of 164462256162456 is 654261652264461.

164462256162456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164462256162456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344216586 + ... + 344694041.

It is an arithmetic number, because the mean of its divisors is an integer number (3875122282500).

Almost surely, 2164462256162456 is an apocalyptic number.

It is an amenable number.

164462256162456 is an abundant number, since it is smaller than the sum of its proper divisors (331553395997544).

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

164462256162456 is a wasteful number, since it uses less digits than its factorization.

164462256162456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688910686 (or 688910668 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 60.

The spelling of 164462256162456 in words is "one hundred sixty-four trillion, four hundred sixty-two billion, two hundred fifty-six million, one hundred sixty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 343 348 392 406 588 609 686 696 812 1029 1176 1218 1372 1421 1624 2058 2436 2744 2842 4116 4263 4872 5684 8232 8526 9947 11368 17052 19894 29841 34104 39788 59682 79576 119364 238728 688910627 1377821254 2066731881 2755642508 4133463762 4822374389 5511285016 8266927524 9644748778 14467123167 16533855048 19289497556 19978408183 28934246334 33756620723 38578995112 39956816366 57868492668 59935224549 67513241446 79913632732 101269862169 115736985336 119870449098 135026482892 139848857281 159827265464 202539724338 236296345061 239740898196 270052965784 279697714562 405079448676 419546571843 472592690122 479481796392 559395429124 708889035183 810158897352 839093143686 945185380244 978942000967 1118790858248 1417778070366 1678186287372 1890370760488 1957884001934 2835556140732 2936826002901 3356372574744 3915768003868 5671112281464 5873652005802 6852594006769 7831536007736 11747304011604 13705188013538 20557782020307 23494608023208 27410376027076 41115564040614 54820752054152 82231128081228 164462256162456