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252041661313 = 133412798069
BaseRepresentation
bin1110101010111011011…
…0101000101110000001
3220002120012211222220221
43222232312220232001
513112140131130223
6311441503303041
724131553526051
oct3525666505601
9802505758827
10252041661313
1197987a46652
1240a202aaa81
131a9c9062000
14c2ada33561
1568521aab5d
hex3aaeda8b81

252041661313 has 16 divisors (see below), whose sum is σ = 279695077200. Its totient is φ = 226979276160.

The previous prime is 252041661299. The next prime is 252041661337. The reversal of 252041661313 is 313166140252.

It can be written as a sum of positive squares in 8 ways, for example, as 249137744769 + 2903916544 = 499137^2 + 53888^2 .

It is not a de Polignac number, because 252041661313 - 213 = 252041653121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252041661373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308958 + ... + 1489111.

It is an arithmetic number, because the mean of its divisors is an integer number (17480942325).

Almost surely, 2252041661313 is an apocalyptic number.

It is an amenable number.

252041661313 is a deficient number, since it is larger than the sum of its proper divisors (27653415887).

252041661313 is an equidigital number, since it uses as much as digits as its factorization.

252041661313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798149 (or 2798123 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 252041661313 in words is "two hundred fifty-two billion, forty-one million, six hundred sixty-one thousand, three hundred thirteen".

Divisors: 1 13 41 169 533 2197 6929 90077 2798069 36374897 114720829 472873661 1491370777 6147357593 19387820101 252041661313