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79312643136 = 26323113731187
BaseRepresentation
bin100100111011101100…
…1101110010001000000
321120201102201201122100
41021313121232101000
52244413014040021
6100234041110400
75505304225506
oct1116731562100
9246642651570
1079312643136
11306aaa12761
1213455788400
13762c90138c
143ba5772676
1520e2e97626
hex127766e440

79312643136 has 168 divisors, whose sum is σ = 228870442944. Its totient is φ = 26259747840.

The previous prime is 79312643089. The next prime is 79312643143. The reversal of 79312643136 is 63134621397.

79312643136 is a `hidden beast` number, since 7 + 93 + 126 + 431 + 3 + 6 = 666.

It is a super-2 number, since 2×793126431362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79312643091 and 79312643100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66817135 + ... + 66818321.

Almost surely, 279312643136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79312643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114435221472).

79312643136 is an abundant number, since it is smaller than the sum of its proper divisors (149557799808).

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

79312643136 is a wasteful number, since it uses less digits than its factorization.

79312643136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1876 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 79312643136 in words is "seventy-nine billion, three hundred twelve million, six hundred forty-three thousand, one hundred thirty-six".