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116957947379 = 713191011135927
BaseRepresentation
bin110110011101100111…
…1001010010111110011
3102011220000000022210212
41230323033022113303
53404012213304004
6125421342414335
711310220102220
oct1547317122763
9364800008725
10116957947379
1145668791a49
121a800b913ab
13b04bb9ac30
145937314947
153097da696e
hex1b3b3ca5f3

116957947379 has 64 divisors (see below), whose sum is σ = 154404956160. Its totient is φ = 86017075200.

The previous prime is 116957947373. The next prime is 116957947409. The reversal of 116957947379 is 973749759611.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-116957947379 is a prime.

It is a super-2 number, since 2×1169579473792 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116957947373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19730114 + ... + 19736040.

It is an arithmetic number, because the mean of its divisors is an integer number (2412577440).

Almost surely, 2116957947379 is an apocalyptic number.

116957947379 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

116957947379 is a deficient number, since it is larger than the sum of its proper divisors (37447008781).

116957947379 is a wasteful number, since it uses less digits than its factorization.

116957947379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180.

The product of its digits is 90016920, while the sum is 68.

The spelling of 116957947379 in words is "one hundred sixteen billion, nine hundred fifty-seven million, nine hundred forty-seven thousand, three hundred seventy-nine".

Divisors: 1 7 13 19 91 101 113 133 247 707 791 1313 1469 1729 1919 2147 5927 9191 10283 11413 13433 15029 24947 27911 41489 77051 79891 112613 148369 174629 195377 216847 539357 598627 669751 788291 1038583 1463969 1517929 2819011 4190389 4688257 7782151 8706763 10247783 11373913 12725269 19733077 54475057 60947341 67644851 79617391 89076883 147860869 165428497 473513957 879383063 1035026083 1157999479 1285252169 6155681441 8996765183 16708278197 116957947379