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24121807229 = 1317214294493
BaseRepresentation
bin10110011101110001…
…011001000101111101
32022021002102202210202
4112131301121011331
5343400140312404
615025330013245
71512521656412
oct263561310575
968232382722
1024121807229
11a259149883
124812417225
132375606a20
14124b8a6109
15962a5221e
hex59dc5917d

24121807229 has 24 divisors (see below), whose sum is σ = 27620753160. Its totient is φ = 20937176064.

The previous prime is 24121807207. The next prime is 24121807249. The reversal of 24121807229 is 92270812142.

It can be written as a sum of positive squares in 12 ways, for example, as 870132004 + 23251675225 = 29498^2 + 152485^2 .

It is a de Polignac number, because none of the positive numbers 2k-24121807229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24121807192 and 24121807201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24121807249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5366507 + ... + 5370999.

It is an arithmetic number, because the mean of its divisors is an integer number (1150864715).

Almost surely, 224121807229 is an apocalyptic number.

It is an amenable number.

24121807229 is a deficient number, since it is larger than the sum of its proper divisors (3498945931).

24121807229 is a wasteful number, since it uses less digits than its factorization.

24121807229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 24121807229 in words is "twenty-four billion, one hundred twenty-one million, eight hundred seven thousand, two hundred twenty-nine".

Divisors: 1 13 17 221 289 1429 3757 4493 18577 24293 58409 76381 315809 412981 992953 1298477 5368753 6420497 16880201 83466461 109148449 1418929837 1855523633 24121807229