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12397709025 = 32521325712
BaseRepresentation
bin10111000101111011…
…00000011011100001
31012000000110212120100
423202331200123201
5200342303142100
65410113533013
7616140534162
oct134275403341
935000425510
1012397709025
115292202319
12249bb74169
131227683400
14858787769
154c8630400
hex2e2f606e1

12397709025 has 81 divisors (see below), whose sum is σ = 24087382137. Its totient is φ = 6092798400.

The previous prime is 12397708969. The next prime is 12397709033. The reversal of 12397709025 is 52090779321.

The square root of 12397709025 is 111345.

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

12397709025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3195527841 + 9202181184 = 56529^2 + 95928^2 .

It is not a de Polignac number, because 12397709025 - 221 = 12395611873 is a prime.

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

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 21711990 + ... + 21712560.

Almost surely, 212397709025 is an apocalyptic number.

12397709025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12397709025 is the 111345-th square number.

12397709025 is the 55673-rd centered octagonal number.

It is an amenable number.

12397709025 is a deficient number, since it is larger than the sum of its proper divisors (11689673112).

12397709025 is an equidigital number, since it uses as much as digits as its factorization.

12397709025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 12397709025 in words is "twelve billion, three hundred ninety-seven million, seven hundred nine thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 571 585 845 975 1521 1713 2535 2855 2925 4225 5139 7423 7605 8565 12675 14275 22269 25695 37115 38025 42825 66807 96499 111345 128475 185575 289497 326041 334035 482495 556725 868491 978123 1447485 1630205 1670175 2412475 2934369 4238533 4342455 4890615 7237425 8151025 12715599 14671845 21192665 21712275 24453075 38146797 55100929 63577995 73359225 105963325 165302787 190733985 275504645 317889975 495908361 826513935 953669925 1377523225 2479541805 4132569675 12397709025