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116792437086 = 233131789109961
BaseRepresentation
bin110110011000101011…
…1110010100101011110
3102011110110120112101000
41230301113302211132
53403142330441321
6125353111131130
711303140223013
oct1546127624536
9364413515330
10116792437086
1145593316686
121a775673aa6
13b0237cb350
14591d34d70a
1530885b1826
hex1b315f295e

116792437086 has 128 divisors (see below), whose sum is σ = 299272579200. Its totient is φ = 33441914880.

The previous prime is 116792437067. The next prime is 116792437109. The reversal of 116792437086 is 680734297611.

116792437086 is a `hidden beast` number, since 116 + 7 + 92 + 437 + 0 + 8 + 6 = 666.

It is a super-3 number, since 3×1167924370863 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007146 + ... + 1117106.

It is an arithmetic number, because the mean of its divisors is an integer number (2338067025).

Almost surely, 2116792437086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116792437086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149636289600).

116792437086 is an abundant number, since it is smaller than the sum of its proper divisors (182480142114).

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

116792437086 is a wasteful number, since it uses less digits than its factorization.

116792437086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110091 (or 110085 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

It can be divided in two parts, 116792 and 437086, that added together give a triangular number (553878 = T1052).

The spelling of 116792437086 in words is "one hundred sixteen billion, seven hundred ninety-two million, four hundred thirty-seven thousand, eighty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 89 102 117 153 178 221 234 267 306 351 442 459 534 663 702 801 918 1157 1326 1513 1602 1989 2314 2403 3026 3471 3978 4539 4806 5967 6942 9078 10413 11934 13617 19669 20826 27234 31239 39338 40851 59007 62478 81702 109961 118014 177021 219922 329883 354042 531063 659766 989649 1062126 1429493 1869337 1979298 2858986 2968947 3738674 4288479 5608011 5937894 8576958 9786529 11216022 12865437 16824033 19573058 24301381 25730874 29359587 33648066 38596311 48602762 50472099 58719174 72904143 77192622 88078761 100944198 127224877 145808286 166370993 176157522 218712429 254449754 264236283 332741986 381674631 437424858 499112979 528472566 656137287 763349262 998225958 1145023893 1312274574 1497338937 2162822909 2290047786 2994677874 3435071679 4325645818 4492016811 6488468727 6870143358 8984033622 12976937454 19465406181 38930812362 58396218543 116792437086