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75315666969 = 34304932
BaseRepresentation
bin100011000100100101…
…0011110000000011001
321012101212201022010000
41012021022132000121
52213221302320334
654333300043213
75304251414664
oct1061112360031
9235355638100
1075315666969
1129a39804374
121271b093509
1371437cb11a
1439069a86db
151e5c11d299
hex118929e019

75315666969 has 15 divisors (see below), whose sum is σ = 112512278703. Its totient is φ = 50208798024.

The previous prime is 75315666947. The next prime is 75315666971. The reversal of 75315666969 is 96966651357.

The square root of 75315666969 is 274437.

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

It can be written as a sum of positive squares in only one way, i.e., 4672406025 + 70643260944 = 68355^2 + 265788^2 .

It is not a de Polignac number, because 75315666969 - 213 = 75315658777 is a prime.

It is a super-2 number, since 2×753156669692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75315666919) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2454687 + ... + 2485179.

Almost surely, 275315666969 is an apocalyptic number.

75315666969 is the 274437-th square number.

75315666969 is the 137219-th centered octagonal number.

It is an amenable number.

75315666969 is a deficient number, since it is larger than the sum of its proper divisors (37196611734).

75315666969 is an frugal number, since it uses more digits than its factorization.

75315666969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60998 (or 30496 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 75315666969 in words is "seventy-five billion, three hundred fifteen million, six hundred sixty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 30493 91479 274437 823311 2469933 929823049 2789469147 8368407441 25105222323 75315666969