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78077124961 = 1123241734483
BaseRepresentation
bin100100010110111000…
…0100110000101100001
321110112022212220022221
41020231300212011201
52234400220444321
655511303431041
75432552416633
oct1105560460541
9243468786287
1078077124961
1130126557660
121316ba55481
137493952334
143ac9638a53
15206e792e41
hex122dc26161

78077124961 has 48 divisors (see below), whose sum is σ = 92481100992. Its totient is φ = 65315289600.

The previous prime is 78077124947. The next prime is 78077125013. The reversal of 78077124961 is 16942177087.

It is not a de Polignac number, because 78077124961 - 225 = 78043570529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78077124899 and 78077124908.

It is not an unprimeable number, because it can be changed into a prime (78077124161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17414026 + ... + 17418508.

It is an arithmetic number, because the mean of its divisors is an integer number (1926689604).

Almost surely, 278077124961 is an apocalyptic number.

It is an amenable number.

78077124961 is a deficient number, since it is larger than the sum of its proper divisors (14403976031).

78077124961 is a wasteful number, since it uses less digits than its factorization.

78077124961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 52.

The spelling of 78077124961 in words is "seventy-eight billion, seventy-seven million, one hundred twenty-four thousand, nine hundred sixty-one".

Divisors: 1 11 23 41 73 253 451 529 803 943 1679 2993 4483 5819 10373 18469 21689 32923 38617 49313 68839 103109 183803 238579 327259 424787 757229 1134199 1583297 2021833 2371507 3599849 4227469 7526957 13417619 17416267 26086577 46502159 82796527 97231787 147593809 173120011 308605237 1069549657 1904320121 3394657607 7097920451 78077124961