Search a number
-
+
164234632716 = 2232711173485159
BaseRepresentation
bin1001100011110100100…
…1011001111000001100
3120200220210102210000200
42120331021121320030
510142323031221331
6203240502053500
714602613226120
oct2307511317014
9520823383020
10164234632716
1163719194420
12279b5a1a290
131264468015b
147d400a3580
15441360d5e6
hex263d259e0c

164234632716 has 144 divisors (see below), whose sum is σ = 548034439680. Its totient is φ = 40149020160.

The previous prime is 164234632673. The next prime is 164234632753. The reversal of 164234632716 is 617236432461.

164234632716 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 3 + 4 + 632 + 7 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1695456 + ... + 1789703.

It is an arithmetic number, because the mean of its divisors is an integer number (3805794720).

Almost surely, 2164234632716 is an apocalyptic number.

It is an amenable number.

164234632716 is an abundant number, since it is smaller than the sum of its proper divisors (383799806964).

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

164234632716 is a wasteful number, since it uses less digits than its factorization.

164234632716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485204 (or 3485199 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 164234632716 in words is "one hundred sixty-four billion, two hundred thirty-four million, six hundred thirty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23562 47124 3485159 6970318 10455477 13940636 20910954 24396113 31366431 38336749 41821908 48792226 59247703 62732862 73188339 76673498 97584452 115010247 118495406 125465724 146376678 153346996 177743109 219565017 230020494 236990812 268357243 292753356 345030741 355486218 414733921 439130034 460040988 533229327 536714486 651724733 690061482 710972436 805071729 829467842 878260068 1066458654 1073428972 1244201763 1303449466 1380122964 1610143458 1658935684 1955174199 2132917308 2415215187 2488403526 2606898932 3220286916 3732605289 3910348398 4562073131 4830430374 4976807052 5865522597 7465210578 7820696796 9124146262 9660860748 11731045194 13686219393 14930421156 18248292524 23462090388 27372438786 41058658179 54744877572 82117316358 164234632716