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379982635164 = 22351143182457
BaseRepresentation
bin1011000011110001011…
…10101110000010011100
31100022210122100212200000
411201320232232002130
522211201023311124
6450321150334300
736311216051526
oct5417056560234
91308718325600
10379982635164
11137171322980
12617874ba390
1329aa8493872
141456987aa16
159d3e39c6c9
hex5878bae09c

379982635164 has 144 divisors (see below), whose sum is σ = 1089173869056. Its totient is φ = 114877699200.

The previous prime is 379982635163. The next prime is 379982635259. The reversal of 379982635164 is 461536289973.

379982635164 is a `hidden beast` number, since 3 + 7 + 9 + 98 + 26 + 3 + 516 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379982635163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4567024 + ... + 4649480.

It is an arithmetic number, because the mean of its divisors is an integer number (7563707424).

Almost surely, 2379982635164 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 379982635164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544586934528).

379982635164 is an abundant number, since it is smaller than the sum of its proper divisors (709191233892).

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

379982635164 is a wasteful number, since it uses less digits than its factorization.

379982635164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82918 (or 82904 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 379982635164 in words is "three hundred seventy-nine billion, nine hundred eighty-two million, six hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 431 486 594 862 891 972 1188 1293 1724 1782 2586 2673 3564 3879 4741 5172 5346 7758 9482 10692 11637 14223 15516 18964 23274 28446 34911 42669 46548 56892 69822 82457 85338 104733 128007 139644 164914 170676 209466 247371 256014 329828 384021 418932 494742 512028 742113 768042 907027 989484 1152063 1484226 1536084 1814054 2226339 2304126 2721081 2968452 3628108 4452678 4608252 5442162 6679017 8163243 8905356 10884324 13358034 16326486 20037051 24489729 26716068 32652972 35538967 40074102 48979458 71077934 73469187 80148204 97958916 106616901 142155868 146938374 213233802 220407561 293876748 319850703 390928637 426467604 440815122 639701406 781857274 881630244 959552109 1172785911 1279402812 1563714548 1919104218 2345571822 2878656327 3518357733 3838208436 4691143644 5757312654 7036715466 8635968981 10555073199 11514625308 14073430932 17271937962 21110146398 31665219597 34543875924 42220292796 63330439194 94995658791 126660878388 189991317582 379982635164