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78538520832 = 283315096481
BaseRepresentation
bin100100100100101000…
…0101011100100000000
321111201111002020110220
41021021100223210000
52241321330131312
6100025145023040
75450154261252
oct1111120534400
9244644066426
1078538520832
1130342a47162
121327a484a80
13753840c045
143b30a21cd2
15209a032c8c
hex124942b900

78538520832 has 144 divisors (see below), whose sum is σ = 216227074560. Its totient is φ = 25281331200.

The previous prime is 78538520803. The next prime is 78538520849. The reversal of 78538520832 is 23802583587.

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, 12115032 + ... + 12121512.

Almost surely, 278538520832 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 78538520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108113537280).

78538520832 is an abundant number, since it is smaller than the sum of its proper divisors (137688553728).

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

78538520832 is a wasteful number, since it uses less digits than its factorization.

78538520832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 78538520832 in words is "seventy-eight billion, five hundred thirty-eight million, five hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 509 744 768 992 1018 1488 1527 1984 2036 2976 3054 3968 4072 5952 6108 6481 7936 8144 11904 12216 12962 15779 16288 19443 23808 24432 25924 31558 32576 38886 47337 48864 51848 63116 65152 77772 94674 97728 103696 126232 130304 155544 189348 195456 200911 207392 252464 311088 378696 390912 401822 414784 504928 602733 622176 757392 803644 829568 1009856 1205466 1244352 1514784 1607288 1659136 2019712 2410932 2488704 3029568 3214576 3298829 4039424 4821864 4977408 6059136 6429152 6597658 9643728 9896487 12118272 12858304 13195316 19287456 19792974 25716608 26390632 38574912 39585948 51433216 52781264 77149824 79171896 102263699 105562528 154299648 158343792 204527398 211125056 306791097 316687584 409054796 422250112 613582194 633375168 818109592 844500224 1227164388 1266750336 1636219184 2454328776 2533500672 3272438368 4908657552 6544876736 9817315104 13089753472 19634630208 26179506944 39269260416 78538520832