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68822552704 = 2719374716273
BaseRepresentation
bin100000000011000100…
…1001101000010000000
320120122100202220211111
41000012021031002000
52111422033141304
651341110053104
74654326021463
oct1000611150200
9216570686744
1068822552704
112720759a534
121140864a194
13664a51b489
14348c4b72da
151bcc07c704
hex100624d080

68822552704 has 128 divisors (see below), whose sum is σ = 151387257600. Its totient is φ = 31042289664.

The previous prime is 68822552699. The next prime is 68822552791. The reversal of 68822552704 is 40725522886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 4221112 + ... + 4237384.

It is an arithmetic number, because the mean of its divisors is an integer number (1182712950).

Almost surely, 268822552704 is an apocalyptic number.

68822552704 is a gapful number since it is divisible by the number (64) 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 68822552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75693628800).

68822552704 is an abundant number, since it is smaller than the sum of its proper divisors (82564704896).

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

68822552704 is a wasteful number, since it uses less digits than its factorization.

68822552704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16390 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

The spelling of 68822552704 in words is "sixty-eight billion, eight hundred twenty-two million, five hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 37 38 47 64 74 76 94 128 148 152 188 296 304 376 592 608 703 752 893 1184 1216 1406 1504 1739 1786 2368 2432 2812 3008 3478 3572 4736 5624 6016 6956 7144 11248 13912 14288 16273 22496 27824 28576 32546 33041 44992 55648 57152 65092 66082 89984 111296 114304 130184 132164 222592 260368 264328 309187 520736 528656 602101 618374 764831 1041472 1057312 1204202 1236748 1529662 2082944 2114624 2408404 2473496 3059324 4229248 4816808 4946992 6118648 9633616 9893984 11439919 12237296 14531789 19267232 19787968 22879838 24474592 28298747 29063578 38534464 39575936 45759676 48949184 56597494 58127156 77068928 91519352 97898368 113194988 116254312 183038704 226389976 232508624 366077408 452779952 465017248 537676193 732154816 905559904 930034496 1075352386 1464309632 1811119808 1860068992 2150704772 3622239616 4301409544 8602819088 17205638176 34411276352 68822552704