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253569652249 = 17219215592
BaseRepresentation
bin1110110000100111101…
…1011101011000011001
3220020111201000222102211
43230021323131120121
513123302312332444
6312253245355121
724214456324114
oct3541173353031
9806451028384
10253569652249
11985a1504881
1241187b68aa1
131abb07a4964
14c3b694157b
1568e13d3c34
hex3b09edd619

253569652249 has 27 divisors (see below), whose sum is σ = 284468539647. Its totient is φ = 225948040128.

The previous prime is 253569652243. The next prime is 253569652253. The reversal of 253569652249 is 942256965352.

The square root of 253569652249 is 503557.

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

It can be written as a sum of positive squares in only one way, i.e., 197415819225 + 56153833024 = 444315^2 + 236968^2 .

It is not a de Polignac number, because 253569652249 - 213 = 253569644057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253569652193 and 253569652202.

It is not an unprimeable number, because it can be changed into a prime (253569652243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 162648132 + ... + 162649690.

Almost surely, 2253569652249 is an apocalyptic number.

253569652249 is the 503557-th square number.

253569652249 is the 251779-th centered octagonal number.

It is an amenable number.

253569652249 is a deficient number, since it is larger than the sum of its proper divisors (30898887398).

253569652249 is an frugal number, since it uses more digits than its factorization.

253569652249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 1595 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 58.

The spelling of 253569652249 in words is "two hundred fifty-three billion, five hundred sixty-nine million, six hundred fifty-two thousand, two hundred forty-nine".

Divisors: 1 17 19 289 323 361 1559 5491 6137 26503 29621 104329 450551 503557 562799 2430481 8560469 9567583 41318177 46179139 162648911 702409009 785045363 877403641 13345771171 14915861897 253569652249