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164829764920 = 235211155912527
BaseRepresentation
bin1001100110000010011…
…1101001110100111000
3120202110021021121221011
42121200213221310320
510200032404434140
6203415521523304
714623430612332
oct2314047516470
9522407247834
10164829764920
11639a4118017
1227b411a3534
131270aa631a2
147d99140452
15444a9b8cea
hex26609e9d38

164829764920 has 64 divisors (see below), whose sum is σ = 372893414400. Its totient is φ = 65572106880.

The previous prime is 164829764903. The next prime is 164829764927. The reversal of 164829764920 is 29467928461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164829764927) 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, 13151697 + ... + 13164223.

It is an arithmetic number, because the mean of its divisors is an integer number (5826459600).

Almost surely, 2164829764920 is an apocalyptic number.

164829764920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164829764920 is an abundant number, since it is smaller than the sum of its proper divisors (208063649480).

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

164829764920 is a wasteful number, since it uses less digits than its factorization.

164829764920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14308 (or 14304 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 164829764920 in words is "one hundred sixty-four billion, eight hundred twenty-nine million, seven hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1559 1688 2110 3118 4220 6236 7795 8440 12472 12527 15590 25054 31180 50108 62360 62635 100216 125270 250540 328949 501080 657898 1315796 1644745 2631592 2643197 3289490 5286394 6578980 10572788 13157960 13215985 19529593 21145576 26431970 39059186 52863940 78118372 97647965 105727880 156236744 195295930 390591860 781183720 4120744123 8241488246 16482976492 20603720615 32965952984 41207441230 82414882460 164829764920