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10382857525 = 521773334661
BaseRepresentation
bin10011010101101110…
…11101010100110101
3222210121011210220201
421222313131110311
5132231002420100
64434140400501
7515203555435
oct115267352465
928717153821
1010382857525
114448941597
122019246131
13c961091a1
14706d442c5
1540b7d736a
hex26addd535

10382857525 has 24 divisors (see below), whose sum is σ = 13818863304. Its totient is φ = 7710566400.

The previous prime is 10382857523. The next prime is 10382857531. The reversal of 10382857525 is 52575828301.

It can be written as a sum of positive squares in 12 ways, for example, as 919848241 + 9463009284 = 30329^2 + 97278^2 .

It is not a de Polignac number, because 10382857525 - 21 = 10382857523 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10382857523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136306 + ... + 198355.

It is an arithmetic number, because the mean of its divisors is an integer number (575785971).

Almost surely, 210382857525 is an apocalyptic number.

It is an amenable number.

10382857525 is a deficient number, since it is larger than the sum of its proper divisors (3436005779).

10382857525 is a wasteful number, since it uses less digits than its factorization.

10382857525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334761 (or 334756 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 10382857525 in words is "ten billion, three hundred eighty-two million, eight hundred fifty-seven thousand, five hundred twenty-five".

Divisors: 1 5 17 25 73 85 365 425 1241 1825 6205 31025 334661 1673305 5689237 8366525 24430253 28446185 122151265 142230925 415314301 610756325 2076571505 10382857525