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12917459025 = 325275772
BaseRepresentation
bin11000000011111000…
…01100100001010001
31020100020110220112100
430001330030201101
5202423332142100
65533441551013
7635051406252
oct140174144121
936306426470
1012917459025
115529629179
122606045469
1312ab261ba3
148a7800b29
1550909a400
hex301f0c851

12917459025 has 27 divisors (see below), whose sum is σ = 23139658321. Its totient is φ = 6888402240.

The previous prime is 12917458937. The next prime is 12917459047. The reversal of 12917459025 is 52095471921.

The square root of 12917459025 is 113655.

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

12917459025 is a `hidden beast` number, since 1 + 29 + 17 + 4 + 590 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7240137921 + 5677321104 = 85089^2 + 75348^2 .

It is not a de Polignac number, because 12917459025 - 211 = 12917456977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1701037 + ... + 1708613.

Almost surely, 212917459025 is an apocalyptic number.

12917459025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12917459025 is the 113655-th square number.

12917459025 is the 56828-th centered octagonal number.

It is an amenable number.

12917459025 is a deficient number, since it is larger than the sum of its proper divisors (10222199296).

12917459025 is an frugal number, since it uses more digits than its factorization.

12917459025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 12917459025 in words is "twelve billion, nine hundred seventeen million, four hundred fifty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 7577 22731 37885 68193 113655 189425 340965 568275 1704825 57410929 172232787 287054645 516698361 861163935 1435273225 2583491805 4305819675 12917459025