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73894424968 = 23713314179861
BaseRepresentation
bin100010011010001110…
…0110111000110001000
321001201211101201121101
41010310130313012020
52202313433044333
653540245551144
75224113151210
oct1046434670610
9231654351541
1073894424968
112937a527201
12123a31154b4
136c78222b20
14380dd27240
151dc747e67d
hex1134737188

73894424968 has 128 divisors (see below), whose sum is σ = 180322007040. Its totient is φ = 27599616000.

The previous prime is 73894424917. The next prime is 73894424983. The reversal of 73894424968 is 86942449837.

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, 885358 + ... + 965218.

It is an arithmetic number, because the mean of its divisors is an integer number (1408765680).

Almost surely, 273894424968 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 73894424968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90161003520).

73894424968 is an abundant number, since it is smaller than the sum of its proper divisors (106427582072).

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

73894424968 is a wasteful number, since it uses less digits than its factorization.

73894424968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79959 (or 79955 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 64.

The spelling of 73894424968 in words is "seventy-three billion, eight hundred ninety-four million, four hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 41 52 56 62 82 91 104 124 164 182 217 248 287 328 364 403 434 533 574 728 806 868 1066 1148 1271 1612 1736 2132 2296 2542 2821 3224 3731 4264 5084 5642 7462 8897 10168 11284 14924 16523 17794 22568 29848 33046 35588 66092 71176 79861 115661 132184 159722 231322 319444 462644 559027 638888 925288 1038193 1118054 2076386 2236108 2475691 3274301 4152772 4472216 4951382 6548602 7267351 8305544 9902764 13097204 14534702 17329837 19805528 22920107 26194408 29069404 32183983 34659674 42565913 45840214 58138808 64367966 69319348 85131826 91680428 101503331 128735932 138638696 170263652 183360856 203006662 225287881 257471864 297961391 340527304 406013324 450575762 595922782 710523317 812026648 901151524 1191845564 1319543303 1421046634 1802303048 2383691128 2639086606 2842093268 5278173212 5684186536 9236803121 10556346424 18473606242 36947212484 73894424968