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164090922603920 = 24513173497909409
BaseRepresentation
bin100101010011110101100101…
…001001110001010110010000
3210111222221100112022120221222
4211103311211021301112100
5133001431202141311140
61340554155034104212
746364115013522034
oct4523654511612620
9714887315276858
10164090922603920
1148314629a71a14
12164a1b05b7b068
1370739277c11c0
142c740861081c4
1513e85ac69d5b5
hex953d65271590

164090922603920 has 80 divisors (see below), whose sum is σ = 410861245332720. Its totient is φ = 60587001741312.

The previous prime is 164090922603901. The next prime is 164090922603961. The reversal of 164090922603920 is 29306229090461.

It can be written as a sum of positive squares in 8 ways, for example, as 17642587294864 + 146448335309056 = 4200308^2 + 12101584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 179982176 + ... + 180891584.

It is an arithmetic number, because the mean of its divisors is an integer number (5135765566659).

Almost surely, 2164090922603920 is an apocalyptic number.

164090922603920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164090922603920 is an abundant number, since it is smaller than the sum of its proper divisors (246770322728800).

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

164090922603920 is a wasteful number, since it uses less digits than its factorization.

164090922603920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082932 (or 1082926 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 53.

The spelling of 164090922603920 in words is "one hundred sixty-four trillion, ninety billion, nine hundred twenty-two million, six hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 173497 346994 693988 867485 909409 1387976 1734970 1818818 2255461 2775952 3469940 3637636 4510922 4547045 6939880 7275272 9021844 9094090 11277305 11822317 13879760 14550544 18043688 18188180 22554610 23644634 36087376 36376360 45109220 47289268 59111585 72752720 90218440 94578536 118223170 180436880 189157072 236446340 472892680 945785360 157779733273 315559466546 631118933092 788898666365 1262237866184 1577797332730 2051136532549 2524475732368 3155594665460 4102273065098 6311189330920 8204546130196 10255682662745 12622378661840 16409092260392 20511365325490 32818184520784 41022730650980 82045461301960 164090922603920