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10506150525 = 3521382313093
BaseRepresentation
bin10011100100011011…
…10010001001111101
31000010012011202010010
421302031302021331
5133004033304100
64454303133433
7521231543313
oct116215621175
930105152103
1010506150525
1145014a2432
1220525a4279
13cb5816c20
1471947a0b3
1541753d750
hex27237227d

10506150525 has 48 divisors (see below), whose sum is σ = 18730495616. Its totient is φ = 5165579520.

The previous prime is 10506150503. The next prime is 10506150533. The reversal of 10506150525 is 52505160501.

It is not a de Polignac number, because 10506150525 - 210 = 10506149501 is a prime.

It is a super-2 number, since 2×105061505252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10506150492 and 10506150501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795879 + ... + 808971.

Almost surely, 210506150525 is an apocalyptic number.

10506150525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10506150525 is a deficient number, since it is larger than the sum of its proper divisors (8224345091).

10506150525 is a wasteful number, since it uses less digits than its factorization.

10506150525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13942 (or 13937 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 10506150525 in words is "ten billion, five hundred six million, one hundred fifty thousand, five hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 823 975 2469 4115 10699 12345 13093 20575 32097 39279 53495 61725 65465 160485 170209 196395 267475 327325 510627 802425 851045 981975 2553135 4255225 10775539 12765675 32326617 53877695 140082007 161633085 269388475 420246021 700410035 808165425 2101230105 3502050175 10506150525