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79025139648 = 263672132659
BaseRepresentation
bin100100110011001000…
…0111110111111000000
321112222101202001000000
41021212100332333000
52243320413432043
6100145331000000
75465213414100
oct1114620767700
9245871661000
1079025139648
11305726a4074
1213395439000
1375b518a580
143b794d3200
1520c7b062d3
hex126643efc0

79025139648 has 588 divisors, whose sum is σ = 294651333480. Its totient is φ = 20833956864.

The previous prime is 79025139631. The next prime is 79025139653. The reversal of 79025139648 is 84693152097.

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a junction number, because it is equal to n+sod(n) for n = 79025139594 and 79025139603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 29718543 + ... + 29721201.

It is an arithmetic number, because the mean of its divisors is an integer number (501107710).

It is a 1-persistent number, because it is pandigital, but 2⋅79025139648 = 158050279296 is not.

Almost surely, 279025139648 is an apocalyptic number.

79025139648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79025139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147325666740).

79025139648 is an abundant number, since it is smaller than the sum of its proper divisors (215626193832).

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

79025139648 is a wasteful number, since it uses less digits than its factorization.

79025139648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2684 counting only the distinct ones).

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

The spelling of 79025139648 in words is "seventy-nine billion, twenty-five million, one hundred thirty-nine thousand, six hundred forty-eight".