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78102428664 = 233132313978301
BaseRepresentation
bin100100010111101000…
…1000111101111111000
321110121002111110111010
41020233101013233320
52234423210204124
655514010033520
75433310455441
oct1105721075770
9243532443433
1078102428664
113013986a707
12131784188a0
137498c71840
143accb442c8
152071ae0529
hex122f447bf8

78102428664 has 128 divisors (see below), whose sum is σ = 220999564800. Its totient is φ = 22821004800.

The previous prime is 78102428639. The next prime is 78102428683. The reversal of 78102428664 is 46682420187.

It is a congruent number.

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, 958314 + ... + 1036614.

It is an arithmetic number, because the mean of its divisors is an integer number (1726559100).

Almost surely, 278102428664 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 78102428664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110499782400).

78102428664 is an abundant number, since it is smaller than the sum of its proper divisors (142897136136).

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

78102428664 is a wasteful number, since it uses less digits than its factorization.

78102428664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78485 (or 78481 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 78102428664 in words is "seventy-eight billion, one hundred two million, four hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 139 156 184 276 278 299 312 417 552 556 598 834 897 1112 1196 1668 1794 1807 2392 3197 3336 3588 3614 5421 6394 7176 7228 9591 10842 12788 14456 19182 21684 25576 38364 41561 43368 76728 78301 83122 124683 156602 166244 234903 249366 313204 332488 469806 498732 626408 939612 997464 1017913 1800923 1879224 2035826 3053739 3601846 4071652 5402769 6107478 7203692 8143304 10805538 10883839 12214956 14407384 21611076 21767678 23411999 24429912 32651517 43222152 43535356 46823998 65303034 70235997 87070712 93647996 130606068 140471994 141489907 187295992 250328297 261212136 280943988 282979814 424469721 500656594 561887976 565959628 750984891 848939442 1001313188 1131919256 1501969782 1697878884 2002626376 3003939564 3254267861 3395757768 6007879128 6508535722 9762803583 13017071444 19525607166 26034142888 39051214332 78102428664