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253502253441152 = 274793413203913
BaseRepresentation
bin111001101000111100010111…
…110001000010000010000000
31020020120120121220111222112022
4321220330113301002002000
5231211340103340104102
62255053154424421012
7104252635106100602
oct7150742761020200
91206516556458468
10253502253441152
117385677a306271
1224522527917768
13ab5b210482941
144685808737172
151e49296cec5a2
hexe68f17c42080

253502253441152 has 32 divisors (see below), whose sum is σ = 505129388747580. Its totient is φ = 126724681363456.

The previous prime is 253502253441091. The next prime is 253502253441169. The reversal of 253502253441152 is 251144352205352.

It can be written as a sum of positive squares in 2 ways, for example, as 251143129470016 + 2359123971136 = 15847496^2 + 1535944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2535022534411522 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205988453 + ... + 207215460.

Almost surely, 2253502253441152 is an apocalyptic number.

It is an amenable number.

253502253441152 is a deficient number, since it is larger than the sum of its proper divisors (251627135306428).

253502253441152 is an equidigital number, since it uses as much as digits as its factorization.

253502253441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413208720 (or 413208708 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 253502253441152 in words is "two hundred fifty-three trillion, five hundred two billion, two hundred fifty-three million, four hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 4793 9586 19172 38344 76688 153376 306752 613504 413203913 826407826 1652815652 3305631304 6611262608 13222525216 26445050432 52890100864 1980486355009 3960972710018 7921945420036 15843890840072 31687781680144 63375563360288 126751126720576 253502253441152