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79421093568 = 2635431131051
BaseRepresentation
bin100100111110111011…
…1011011011011000000
321120222222210120200000
41021331313123123000
52300123244443233
6100252513400000
75511062104515
oct1117567333300
9246888716600
1079421093568
1130756156113
1213485b69000
13764921332b
143bb5d2330c
1520ec76ad13
hex127dddb6c0

79421093568 has 336 divisors, whose sum is σ = 243937389696. Its totient is φ = 25604812800.

The previous prime is 79421093567. The next prime is 79421093581. The reversal of 79421093568 is 86539012497.

79421093568 is a `hidden beast` number, since 79 + 4 + 2 + 1 + 0 + 9 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79421093567) 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, 75566643 + ... + 75567693.

It is an arithmetic number, because the mean of its divisors is an integer number (726004136).

It is a 1-persistent number, because it is pandigital, but 2⋅79421093568 = 158842187136 is not.

Almost surely, 279421093568 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 79421093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968694848).

79421093568 is an abundant number, since it is smaller than the sum of its proper divisors (164516296128).

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

79421093568 is a wasteful number, since it uses less digits than its factorization.

79421093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 794210 and 93568, that added together give a triangular number (887778 = T1332).

The spelling of 79421093568 in words is "seventy-nine billion, four hundred twenty-one million, ninety-three thousand, five hundred sixty-eight".