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790068544164 = 22341922321132
BaseRepresentation
bin10110111111100111100…
…00010100001010100100
32210112022020100111210000
423133303300110022210
5100421030021403124
61402541422501300
7111036430551204
oct13376360241244
92715266314700
10790068544164
11285080106a59
12109154434830
135967053b1a3
142a34d366404
15158414736c9
hexb7f3c142a4

790068544164 has 405 divisors, whose sum is σ = 2299061157393. Its totient is φ = 236535780096.

The previous prime is 790068544127. The next prime is 790068544169. The reversal of 790068544164 is 461445860097.

The square root of 790068544164 is 888858.

It is a perfect power (a square), and thus also a powerful number.

790068544164 is a `hidden beast` number, since 7 + 90 + 0 + 6 + 8 + 544 + 1 + 6 + 4 = 666.

790068544164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13921640100 + 776146904064 = 117990^2 + 880992^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 790068544164.

It is not an unprimeable number, because it can be changed into a prime (790068544169) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6991756972 + ... + 6991757084.

Almost surely, 2790068544164 is an apocalyptic number.

790068544164 is the 888858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790068544164

790068544164 is an abundant number, since it is smaller than the sum of its proper divisors (1508992613229).

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

790068544164 is a wasteful number, since it uses less digits than its factorization.

790068544164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 790068544164 in words is "seven hundred ninety billion, sixty-eight million, five hundred forty-four thousand, one hundred sixty-four".