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79839781920 = 2534517362381
BaseRepresentation
bin100101001011011010…
…0100110010000100000
321122002011122011010000
41022112310212100200
52302002441010140
6100402231340000
75524334643333
oct1122664462040
9248064564100
1079839781920
1130950525948
1213582221600
1376b4b99012
143c1579061a
1521243c1a30
hex1296d26420

79839781920 has 240 divisors, whose sum is σ = 298343302488. Its totient is φ = 20038164480.

The previous prime is 79839781913. The next prime is 79839781933. The reversal of 79839781920 is 2918793897.

It can be written as a sum of positive squares in 4 ways, for example, as 74129863824 + 5709918096 = 272268^2 + 75564^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39130 + ... + 401510.

Almost surely, 279839781920 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 79839781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149171651244).

79839781920 is an abundant number, since it is smaller than the sum of its proper divisors (218503520568).

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

79839781920 is a wasteful number, since it uses less digits than its factorization.

79839781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362425 (or 362408 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 79839781920 in words is "seventy-nine billion, eight hundred thirty-nine million, seven hundred eighty-one thousand, nine hundred twenty".