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78754507968 = 263899747513
BaseRepresentation
bin100100101011000100…
…0100110110011000000
321112021112111112010110
41021112020212303000
52242242123223333
6100102422231320
75455416162333
oct1112610466300
9245245445113
1078754507968
1130443959524
121331a885540
1375710a3096
143b515a661a
1520ade99063
hex1256226cc0

78754507968 has 112 divisors (see below), whose sum is σ = 212889327840. Its totient is φ = 25688408064.

The previous prime is 78754507967. The next prime is 78754508009. The reversal of 78754507968 is 86970545787.

It is a junction number, because it is equal to n+sod(n) for n = 78754507899 and 78754507908.

It is not an unprimeable number, because it can be changed into a prime (78754507967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633780 + ... + 1681292.

It is an arithmetic number, because the mean of its divisors is an integer number (1900797570).

Almost surely, 278754507968 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 78754507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444663920).

78754507968 is an abundant number, since it is smaller than the sum of its proper divisors (134134819872).

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

78754507968 is a wasteful number, since it uses less digits than its factorization.

78754507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47714 (or 47704 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 66.

The spelling of 78754507968 in words is "seventy-eight billion, seven hundred fifty-four million, five hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 97 178 192 194 267 291 356 388 534 582 712 776 1068 1164 1424 1552 2136 2328 2848 3104 4272 4656 5696 6208 8544 8633 9312 17088 17266 18624 25899 34532 47513 51798 69064 95026 103596 138128 142539 190052 207192 276256 285078 380104 414384 552512 570156 760208 828768 1140312 1520416 1657536 2280624 3040832 4228657 4561248 4608761 8457314 9122496 9217522 12685971 13826283 16914628 18435044 25371942 27652566 33829256 36870088 50743884 55305132 67658512 73740176 101487768 110610264 135317024 147480352 202975536 221220528 270634048 294960704 405951072 410179729 442441056 811902144 820359458 884882112 1230539187 1640718916 2461078374 3281437832 4922156748 6562875664 9844313496 13125751328 19688626992 26251502656 39377253984 78754507968