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253301765410432 = 271978920042269
BaseRepresentation
bin111001100110000001101001…
…101111111000111010000000
31020012212102010112220202202001
4321212001221233320322000
5231200044003421113212
62254421120302233344
7104232306611000524
oct7146015157707200
91205772115822661
10253301765410432
11737897480133a2
12244ab6b4885854
13ab4533c00c6bb
144679c298d7d84
151e43e60ac6657
hexe66069bf8e80

253301765410432 has 16 divisors (see below), whose sum is σ = 504624610778850. Its totient is φ = 126650882705152.

The previous prime is 253301765410391. The next prime is 253301765410453. The reversal of 253301765410432 is 234014567103352.

It can be written as a sum of positive squares in only one way, i.e., 251001155976256 + 2300609434176 = 15843016^2 + 1516776^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 989460021007 + ... + 989460021262.

Almost surely, 2253301765410432 is an apocalyptic number.

It is an amenable number.

253301765410432 is a deficient number, since it is larger than the sum of its proper divisors (251322845368418).

253301765410432 is an equidigital number, since it uses as much as digits as its factorization.

253301765410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978920042283 (or 1978920042271 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 253301765410432 in words is "two hundred fifty-three trillion, three hundred one billion, seven hundred sixty-five million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 1978920042269 3957840084538 7915680169076 15831360338152 31662720676304 63325441352608 126650882705216 253301765410432