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79149441084 = 22373151347367
BaseRepresentation
bin100100110110110101…
…1001010000000111100
321120022001122012111220
41021231223022000330
52244044224103314
6100205531113340
75501253102000
oct1115553120074
9246261565456
1079149441084
113062688362a
121340aba2850
137604b5c30c
143b8bc0c700
1520d39ab3a9
hex126daca03c

79149441084 has 192 divisors, whose sum is σ = 218016153600. Its totient is φ = 22338590400.

The previous prime is 79149441053. The next prime is 79149441097. The reversal of 79149441084 is 48014494197.

It is a super-3 number, since 3×791494410843 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 215665869 + ... + 215666235.

It is an arithmetic number, because the mean of its divisors is an integer number (1135500800).

Almost surely, 279149441084 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 79149441084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109008076800).

79149441084 is an abundant number, since it is smaller than the sum of its proper divisors (138866712516).

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

79149441084 is a wasteful number, since it uses less digits than its factorization.

79149441084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 79149441084 in words is "seventy-nine billion, one hundred forty-nine million, four hundred forty-one thousand, eighty-four".