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12024657649 = 53220692
BaseRepresentation
bin10110011001011100…
…11011011011110001
31011001000111220021201
423030232123123301
5144111303021044
65305110051201
7603660621634
oct131456333361
934030456251
1012024657649
1151106732a4
1223b7049b01
1311982b8c54
14820dd9c1b
154a59e17d4
hex2ccb9b6f1

12024657649 has 9 divisors (see below), whose sum is σ = 12261745153. Its totient is φ = 11792075152.

The previous prime is 12024657641. The next prime is 12024657677. The reversal of 12024657649 is 94675642021.

The square root of 12024657649 is 109657.

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

It can be written as a sum of positive squares in 4 ways, for example, as 267159025 + 11757498624 = 16345^2 + 108432^2 .

It is not a de Polignac number, because 12024657649 - 23 = 12024657641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12024657599 and 12024657608.

It is not an unprimeable number, because it can be changed into a prime (12024657641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5810787 + ... + 5812855.

Almost surely, 212024657649 is an apocalyptic number.

12024657649 is the 109657-th square number.

12024657649 is the 54829-th centered octagonal number.

It is an amenable number.

12024657649 is a deficient number, since it is larger than the sum of its proper divisors (237087504).

12024657649 is an frugal number, since it uses more digits than its factorization.

12024657649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 12024657649 in words is "twelve billion, twenty-four million, six hundred fifty-seven thousand, six hundred forty-nine".

Divisors: 1 53 2069 2809 109657 4280761 5811821 226880333 12024657649