Search a number
-
+
164251436770674 = 233111100325131107
BaseRepresentation
bin100101010110001011000100…
…100010101110010101110010
3210112120021200001001010011000
4211112023010202232111302
5133012043420303130144
61341200022433502430
746411526502444501
oct4526130442562562
9715507601033130
10164251436770674
1148376709038180
1216509041a11a16
137085ac84331b6
142c7bb52020838
1513ec854351769
hex9562c48ae572

164251436770674 has 64 divisors (see below), whose sum is σ = 398221505902080. Its totient is φ = 49768637078160.

The previous prime is 164251436770669. The next prime is 164251436770693. The reversal of 164251436770674 is 476077634152461.

164251436770674 is a `hidden beast` number, since 1 + 6 + 42 + 514 + 3 + 6 + 7 + 7 + 0 + 6 + 74 = 666.

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, 6029772 + ... + 19101335.

It is an arithmetic number, because the mean of its divisors is an integer number (6222211029720).

Almost surely, 2164251436770674 is an apocalyptic number.

164251436770674 is an abundant number, since it is smaller than the sum of its proper divisors (233970069131406).

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

164251436770674 is a wasteful number, since it uses less digits than its factorization.

164251436770674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142132 (or 25142126 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 164251436770674 in words is "one hundred sixty-four trillion, two hundred fifty-one billion, four hundred thirty-six million, seven hundred seventy thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 11003 22006 33009 66018 99027 121033 198054 242066 297081 363099 594162 726198 1089297 2178594 3267891 6535782 25131107 50262214 75393321 150786642 226179963 276442177 452359926 552884354 678539889 829326531 1357079778 1658653062 2487979593 4975959186 7463938779 14927877558 276517570321 553035140642 829552710963 1659105421926 2488658132889 3041693273531 4977316265778 6083386547062 7465974398667 9125079820593 14931948797334 18250159641186 27375239461779 54750478923558 82125718385337 164251436770674