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979989123136 = 261722922512
BaseRepresentation
bin11100100001010111110…
…01110101000001000000
310110200112010102112222111
432100223321311001000
5112024004203420021
62030111211545104
7130542021051112
oct16205371650100
93420463375874
10979989123136
1134867a347a31
12139b1845b194
13715495831ba
143560892d3b2
151a759a9c8e1
hexe42be75040

979989123136 has 189 divisors, whose sum is σ = 2148035130007. Its totient is φ = 443494912000.

The previous prime is 979989123097. The next prime is 979989123149. The reversal of 979989123136 is 631321989979.

The square root of 979989123136 is 989944.

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

It can be written as a sum of positive squares in 4 ways, for example, as 96870337600 + 883118785536 = 311240^2 + 939744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3904339011 + ... + 3904339261.

Almost surely, 2979989123136 is an apocalyptic number.

979989123136 is the 989944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979989123136

979989123136 is an abundant number, since it is smaller than the sum of its proper divisors (1168046006871).

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

979989123136 is an equidigital number, since it uses as much as digits as its factorization.

979989123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 299 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 67.

The spelling of 979989123136 in words is "nine hundred seventy-nine billion, nine hundred eighty-nine million, one hundred twenty-three thousand, one hundred thirty-six".