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78856350768 = 243313112912437
BaseRepresentation
bin100100101110000110…
…1000110110000110000
321112112122010200012000
41021130031012300300
52242444211211033
6100120501134000
75461063631166
oct1113415066060
9245478120160
1078856350768
1130496399528
12133489ba300
1375892105b0
143b60d17236
1520b7db4a13
hex125c346c30

78856350768 has 160 divisors (see below), whose sum is σ = 243993758400. Its totient is φ = 24240052224.

The previous prime is 78856350763. The next prime is 78856350803. The reversal of 78856350768 is 86705365887.

78856350768 is a `hidden beast` number, since 7 + 8 + 8 + 5 + 63 + 507 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (78856350763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6334246 + ... + 6346682.

It is an arithmetic number, because the mean of its divisors is an integer number (1524960990).

Almost surely, 278856350768 is an apocalyptic number.

78856350768 is a gapful number since it is divisible by the number (78) 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 78856350768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121996879200).

78856350768 is an abundant number, since it is smaller than the sum of its proper divisors (165137407632).

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

78856350768 is a wasteful number, since it uses less digits than its factorization.

78856350768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13596 (or 13584 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 78856350768 in words is "seventy-eight billion, eight hundred fifty-six million, three hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1129 1404 1872 2258 2808 3387 4516 5616 6774 9032 10161 12437 13548 14677 18064 20322 24874 27096 29354 30483 37311 40644 44031 49748 54192 58708 60966 74622 81288 88062 99496 111933 117416 121932 132093 149244 161681 162576 176124 198992 223866 234832 243864 264186 298488 323362 335799 352248 396279 447732 485043 487728 528372 596976 646724 671598 704496 792558 895464 970086 1056744 1293448 1343196 1455129 1585116 1790928 1940172 2113488 2586896 2686392 2910258 3170232 3880344 4365387 5372784 5820516 6340464 7760688 8730774 11641032 14041373 17461548 23282064 28082746 34923096 42124119 56165492 69846192 84248238 112330984 126372357 168496476 182537849 224661968 252744714 336992952 365075698 379117071 505489428 547613547 673985904 730151396 758234142 1010978856 1095227094 1460302792 1516468284 1642840641 2021957712 2190454188 2920605584 3032936568 3285681282 4380908376 4928521923 6065873136 6571362564 8761816752 9857043846 13142725128 19714087692 26285450256 39428175384 78856350768