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78804628256 = 2517974333449
BaseRepresentation
bin100100101100100011…
…1110011001100100000
321112102000210220020102
41021121013303030200
52242342441101011
6100111412401532
75456565200534
oct1113107631440
9245360726212
1078804628256
113046a181652
12133336162a8
13757b5a1163
143b580d1bc4
1520b359973b
hex12591f3320

78804628256 has 96 divisors (see below), whose sum is σ = 166397943600. Its totient is φ = 36606836736.

The previous prime is 78804628249. The next prime is 78804628261. The reversal of 78804628256 is 65282640887.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8229392656 + 70575235600 = 90716^2 + 265660^2 .

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

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, 22846820 + ... + 22850268.

Almost surely, 278804628256 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 78804628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83198971800).

78804628256 is an abundant number, since it is smaller than the sum of its proper divisors (87593315344).

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

78804628256 is a wasteful number, since it uses less digits than its factorization.

78804628256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 78804628256 in words is "seventy-eight billion, eight hundred four million, six hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 97 136 194 272 388 433 544 776 866 1552 1649 1732 3104 3298 3449 3464 6596 6898 6928 7361 13192 13796 13856 14722 26384 27592 29444 42001 52768 55184 58633 58888 84002 110368 117266 117776 168004 234532 235552 334553 336008 469064 669106 672016 714017 938128 1338212 1344032 1428034 1493417 1876256 2676424 2856068 2986834 5352848 5687401 5712136 5973668 10705696 11374802 11424272 11947336 22749604 22848544 23894672 25388089 45499208 47789344 50776178 90998416 101552356 144861449 181996832 203104712 289722898 406209424 579445796 812418848 1158891592 2317783184 2462644633 4635566368 4925289266 9850578532 19701157064 39402314128 78804628256