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10253428352 = 27113708893
BaseRepresentation
bin10011000110010011…
…01110011010000000
3222110120122010110122
421203021232122000
5131444334201402
64413234315412
7512042463056
oct114311563200
928416563418
1010253428352
11439187a532
121ba1a28b68
13c7536048b
146d3a921d6
1540026cca2
hex26326e680

10253428352 has 32 divisors (see below), whose sum is σ = 20607548580. Its totient is φ = 5081337856.

The previous prime is 10253428327. The next prime is 10253428357. The reversal of 10253428352 is 25382435201.

It can be written as a sum of positive squares in 2 ways, for example, as 10101054016 + 152374336 = 100504^2 + 12344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10253428357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339983 + ... + 368910.

Almost surely, 210253428352 is an apocalyptic number.

It is an amenable number.

10253428352 is an abundant number, since it is smaller than the sum of its proper divisors (10354120228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10253428352 is an equidigital number, since it uses as much as digits as its factorization.

10253428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709020 (or 709008 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 10253428352 in words is "ten billion, two hundred fifty-three million, four hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 708893 1417786 2835572 5671144 11342288 22684576 45369152 80104909 90738304 160209818 320419636 640839272 1281678544 2563357088 5126714176 10253428352