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79240327920 = 24335132171132
BaseRepresentation
bin100100111001100010…
…1110111001011110000
321120112101122201211000
41021303011313023300
52244241010443140
6100222535122000
75503435450125
oct1116305671360
9246471581730
1079240327920
1130673110216
1213435513300
13761a931b00
143b99d0a74c
1520db960a30
hex12731772f0

79240327920 has 720 divisors, whose sum is σ = 315728318880. Its totient is φ = 18195480576.

The previous prime is 79240327919. The next prime is 79240327951. The reversal of 79240327920 is 2972304297.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 701241784 + ... + 701241896.

It is an arithmetic number, because the mean of its divisors is an integer number (438511554).

Almost surely, 279240327920 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 79240327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157864159440).

79240327920 is an abundant number, since it is smaller than the sum of its proper divisors (236487990960).

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

79240327920 is a wasteful number, since it uses less digits than its factorization.

79240327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 79240327920 in words is "seventy-nine billion, two hundred forty million, three hundred twenty-seven thousand, nine hundred twenty".