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979828758769 = 7241234492
BaseRepresentation
bin11100100001000100101…
…10000101100011110001
310110200002221200012102111
432100202112011203301
5112023142130240034
62030043242445321
7130535033013400
oct16204226054361
93420087605374
10979828758769
113485a78768a3
12139a92803841
1371522295943
14355d1507637
151a74a972364
hexe4225858f1

979828758769 has 27 divisors (see below), whose sum is σ = 1168617697761. Its totient is φ = 819131429760.

The previous prime is 979828758767. The next prime is 979828758781. The reversal of 979828758769 is 967857828979.

The square root of 979828758769 is 989863.

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 897780885169 + 82047873600 = 947513^2 + 286440^2 .

It is not a de Polignac number, because 979828758769 - 21 = 979828758767 is a prime.

It is a super-2 number, since 2×9798287587692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (979828758767) by changing a digit.

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, 284088957 + ... + 284092405.

Almost surely, 2979828758769 is an apocalyptic number.

979828758769 is the 989863-rd square number.

979828758769 is the 494932-nd centered octagonal number.

It is an amenable number.

979828758769 is a deficient number, since it is larger than the sum of its proper divisors (188788938992).

979828758769 is an frugal number, since it uses more digits than its factorization.

979828758769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 3497 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 85.

The spelling of 979828758769 in words is "nine hundred seventy-nine billion, eight hundred twenty-eight million, seven hundred fifty-eight thousand, seven hundred sixty-nine".

Divisors: 1 7 41 49 287 1681 2009 3449 11767 24143 82369 141409 169001 989863 5797769 6929041 11895601 40584383 83269207 284090681 487719641 582884449 3414037487 19996505281 23898262409 139975536967 979828758769