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760057906969 = 312281232
BaseRepresentation
bin10110000111101101111…
…10110100011100011001
32200122211202001011220201
423003312332310130121
544423044311010334
61341055450422201
7105624641420134
oct13036676643431
92618752034821
10760057906969
1127337a968059
12103379a31961
1356899bc04ba
1428b0374d21b
1514b86947c14
hexb0f6fb4719

760057906969 has 9 divisors (see below), whose sum is σ = 785394734229. Its totient is φ = 735513755580.

The previous prime is 760057906957. The next prime is 760057906973. The reversal of 760057906969 is 969609750067.

The square root of 760057906969 is 871813.

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

It is not a de Polignac number, because 760057906969 - 27 = 760057906841 is a prime.

It is a super-2 number, since 2×7600579069692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 760057906969.

It is not an unprimeable number, because it can be changed into a prime (760057906369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27012142 + ... + 27040264.

It is an arithmetic number, because the mean of its divisors is an integer number (87266081581).

Almost surely, 2760057906969 is an apocalyptic number.

760057906969 is the 871813-rd square number.

760057906969 is the 435907-th centered octagonal number.

It is an amenable number.

760057906969 is a deficient number, since it is larger than the sum of its proper divisors (25336827260).

760057906969 is an frugal number, since it uses more digits than its factorization.

760057906969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56308 (or 28154 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 64.

Multiplying 760057906969 by its sum of digits (64), we get a square (48643706046016 = 69745042).

The spelling of 760057906969 in words is "seven hundred sixty billion, fifty-seven million, nine hundred six thousand, nine hundred sixty-nine".

Divisors: 1 31 961 28123 871813 27026203 790903129 24517996999 760057906969