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78961105158 = 231347174712329
BaseRepresentation
bin100100110001001110…
…0101101100100000110
321112210221020202012020
41021202130231210012
52243203020331113
6100135122304010
75463505214445
oct1114234554406
9245727222166
1078961105158
113053a538001
1213377ab8006
1375a4b2a140
143b70bc4d5c
1520c21a8023
hex126272d906

78961105158 has 64 divisors (see below), whose sum is σ = 173802101760. Its totient is φ = 23763255552.

The previous prime is 78961105087. The next prime is 78961105159. The reversal of 78961105158 is 85150116987.

It is a super-3 number, since 3×789611051583 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 78961105158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78961105159) 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, 6398338 + ... + 6410666.

It is an arithmetic number, because the mean of its divisors is an integer number (2715657840).

Almost surely, 278961105158 is an apocalyptic number.

78961105158 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78961105158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86901050880).

78961105158 is an abundant number, since it is smaller than the sum of its proper divisors (94840996602).

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

78961105158 is a wasteful number, since it uses less digits than its factorization.

78961105158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14141.

The product of its (nonzero) digits is 604800, while the sum is 51.

The spelling of 78961105158 in words is "seventy-eight billion, nine hundred sixty-one million, one hundred five thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1222 1747 1833 3494 3666 5241 10482 12329 22711 24658 36987 45422 68133 73974 82109 136266 160277 164218 246327 320554 480831 492654 579463 961662 1067417 1158926 1738389 2134834 3202251 3476778 6404502 7533019 15066038 21538763 22599057 43077526 45198114 64616289 129232578 280003919 560007838 840011757 1012321861 1680023514 2024643722 3036965583 6073931166 13160184193 26320368386 39480552579 78961105158