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456104934629 = 17431633827893
BaseRepresentation
bin1101010001100011111…
…10001111110011100101
31121121021201220100112122
412220301332033303211
524433100330402004
6545310503355325
744644463656001
oct6506176176345
91547251810478
10456104934629
11166484388173
1274490752b45
133401a127706
141810b619701
15bce7202cbe
hex6a31f8fce5

456104934629 has 16 divisors (see below), whose sum is σ = 497197495872. Its totient is φ = 416719634688.

The previous prime is 456104934581. The next prime is 456104934653. The reversal of 456104934629 is 926439401654.

It is a de Polignac number, because none of the positive numbers 2k-456104934629 is a prime.

It is a super-2 number, since 2×4561049346292 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456104934529) 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 15 ways as a sum of consecutive naturals, for example, 1794794 + ... + 2033099.

It is an arithmetic number, because the mean of its divisors is an integer number (31074843492).

Almost surely, 2456104934629 is an apocalyptic number.

It is an amenable number.

456104934629 is a deficient number, since it is larger than the sum of its proper divisors (41092561243).

456104934629 is a wasteful number, since it uses less digits than its factorization.

456104934629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828116.

The product of its (nonzero) digits is 5598720, while the sum is 53.

The spelling of 456104934629 in words is "four hundred fifty-six billion, one hundred four million, nine hundred thirty-four thousand, six hundred twenty-nine".

Divisors: 1 17 43 163 731 2771 7009 119153 3827893 65074181 164599399 623946559 2798189783 10607091503 26829702037 456104934629