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78934122048 = 26323310611663
BaseRepresentation
bin100100110000011010…
…1110001111001000000
321112202001110212022210
41021200311301321000
52243124113401143
6100132320102120
75463026652465
oct1114065617100
9245661425283
1078934122048
1130526288211
121336aa64940
13759c3703c2
143b6b39d66c
1520beb28033
hex1260d71e40

78934122048 has 112 divisors (see below), whose sum is σ = 210066794496. Its totient is φ = 26158018560.

The previous prime is 78934122041. The next prime is 78934122103. The reversal of 78934122048 is 84022143987.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 78934121988 and 78934122006.

It is not an unprimeable number, because it can be changed into a prime (78934122041) 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, 47464065 + ... + 47465727.

Almost surely, 278934122048 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 78934122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105033397248).

78934122048 is an abundant number, since it is smaller than the sum of its proper divisors (131132672448).

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

78934122048 is a wasteful number, since it uses less digits than its factorization.

78934122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 78934122048 in words is "seventy-eight billion, nine hundred thirty-four million, one hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 699 932 1061 1398 1663 1864 2122 2796 3183 3326 3728 4244 4989 5592 6366 6652 7456 8488 9978 11184 12732 13304 14912 16976 19956 22368 25464 26608 33952 39912 44736 50928 53216 67904 79824 101856 106432 159648 203712 247213 319296 387479 494426 741639 774958 988852 1162437 1483278 1549916 1764443 1977704 2324874 2966556 3099832 3528886 3955408 4649748 5293329 5933112 6199664 7057772 7910816 9299496 10586658 11866224 12399328 14115544 15821632 18598992 21173316 23732448 24798656 28231088 37197984 42346632 47464896 56462176 74395968 84693264 112924352 169386528 338773056 411115219 822230438 1233345657 1644460876 2466691314 3288921752 4933382628 6577843504 9866765256 13155687008 19733530512 26311374016 39467061024 78934122048