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116776220715 = 325711173319447
BaseRepresentation
bin110110011000001100…
…1111011100000101011
3102011102100001122200200
41230300121323200223
53403124203030330
6125351331403243
711302552332660
oct1546031734053
9364370048620
10116776220715
1145585150020
121a770153523
13b02034116b
14591b12ba67
153086e5ba60
hex1b3067b82b

116776220715 has 96 divisors (see below), whose sum is σ = 252516566016. Its totient is φ = 48499879680.

The previous prime is 116776220677. The next prime is 116776220719. The reversal of 116776220715 is 517022677611.

116776220715 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 7 + 622 + 0 + 7 + 15 = 666.

It is not a de Polignac number, because 116776220715 - 26 = 116776220651 is a prime.

It is a super-2 number, since 2×1167762207152 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (116776220719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5995122 + ... + 6014568.

It is an arithmetic number, because the mean of its divisors is an integer number (2630380896).

Almost surely, 2116776220715 is an apocalyptic number.

116776220715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116776220715 is an abundant number, since it is smaller than the sum of its proper divisors (135740345301).

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

116776220715 is a wasteful number, since it uses less digits than its factorization.

116776220715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21209 (or 21206 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 116776220715 in words is "one hundred sixteen billion, seven hundred seventy-six million, two hundred twenty thousand, seven hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 1733 3465 5199 8665 12131 15597 19063 19447 25995 36393 57189 58341 60655 77985 95315 97235 109179 133441 136129 171567 175023 181965 213917 285945 291705 400323 408387 545895 641751 667205 680645 857835 875115 1069585 1200969 1225161 1497419 1925253 2001615 2041935 3208755 4492257 6004845 6125805 7487095 9626265 13476771 22461285 33701651 67383855 101104953 168508255 235911557 303314859 370718161 505524765 707734671 1112154483 1179557785 1516574295 1853590805 2123204013 2595027127 3336463449 3538673355 5560772415 7785081381 10616020065 12975135635 16682317245 23355244143 38925406905 116776220715