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12252497481 = 34742512
BaseRepresentation
bin10110110100100111…
…00100011001001001
31011121220020100210000
423122103210121021
5200043114404411
65343445313213
7612425340000
oct133223443111
934556210700
1012252497481
115218240784
12245b405809
13120356cc13
14843387c37
154ba9e9956
hex2da4e4649

12252497481 has 75 divisors (see below), whose sum is σ = 21437770013. Its totient is φ = 6973533000.

The previous prime is 12252497473. The next prime is 12252497507. The reversal of 12252497481 is 18479425221.

The square root of 12252497481 is 110691.

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

12252497481 is a `hidden beast` number, since 122 + 5 + 2 + 49 + 7 + 481 = 666.

It is not a de Polignac number, because 12252497481 - 23 = 12252497473 is a prime.

It is a super-2 number, since 2×122524974812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12252417481) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 48814606 + ... + 48814856.

Almost surely, 212252497481 is an apocalyptic number.

12252497481 is the 110691-st square number.

12252497481 is the 55346-th centered octagonal number.

It is an amenable number.

12252497481 is a deficient number, since it is larger than the sum of its proper divisors (9185272532).

12252497481 is an frugal number, since it uses more digits than its factorization.

12252497481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 261 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12252497481 in words is "twelve billion, two hundred fifty-two million, four hundred ninety-seven thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 251 343 441 567 753 1029 1323 1757 2259 2401 3087 3969 5271 6777 7203 9261 12299 15813 20331 21609 27783 36897 47439 63001 64827 86093 110691 142317 189003 194481 258279 332073 441007 567009 602651 774837 996219 1323021 1701027 1807953 2324511 3087049 3969063 5103081 5423859 6973533 9261147 11907189 16271577 21609343 27783441 35721567 48814731 64828029 83350323 151265401 194484087 250050969 453796203 583452261 1361388609 1750356783 4084165827 12252497481