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16464314412 = 22327136775011
BaseRepresentation
bin11110101010101100…
…11000000000101100
31120111102111211102200
433111112120000230
5232204331030122
611321423221500
71122000235440
oct172526300054
946442454380
1016464314412
116a89749117
123235a47890
1317250254a0
14b228b8820
156656605ac
hex3d559802c

16464314412 has 144 divisors (see below), whose sum is σ = 51987516672. Its totient is φ = 4277370240.

The previous prime is 16464314393. The next prime is 16464314429. The reversal of 16464314412 is 21441346461.

16464314412 is a `hidden beast` number, since 1 + 6 + 4 + 643 + 1 + 4 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 181987 + ... + 256997.

Almost surely, 216464314412 is an apocalyptic number.

16464314412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16464314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25993758336).

16464314412 is an abundant number, since it is smaller than the sum of its proper divisors (35523202260).

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

16464314412 is a wasteful number, since it uses less digits than its factorization.

16464314412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75108 (or 75103 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 16464314412 in words is "sixteen billion, four hundred sixty-four million, three hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 67 78 84 91 117 126 134 156 182 201 234 252 268 273 364 402 468 469 546 603 804 819 871 938 1092 1206 1407 1638 1742 1876 2412 2613 2814 3276 3484 4221 5226 5628 6097 7839 8442 10452 12194 15678 16884 18291 24388 31356 36582 54873 73164 75011 109746 150022 219492 225033 300044 450066 525077 675099 900132 975143 1050154 1350198 1575231 1950286 2100308 2700396 2925429 3150462 3900572 4725693 5025737 5850858 6300924 6826001 8776287 9451386 10051474 11701716 13652002 15077211 17552574 18902772 20102948 20478003 27304004 30154422 35105148 35180159 40956006 45231633 60308844 61434009 65334581 70360318 81912012 90463266 105540477 122868018 130669162 140720636 180926532 196003743 211080954 245736036 261338324 316621431 392007486 422161908 457342067 588011229 633242862 784014972 914684134 1176022458 1266485724 1372026201 1829368268 2352044916 2744052402 4116078603 5488104804 8232157206 16464314412