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10527000705 = 335132461407
BaseRepresentation
bin10011100110111010…
…10100100010000001
31000011122102001012000
421303131110202001
5133024403010310
64500330054213
7521604013104
oct116335244201
930148361160
1010527000705
114512243491
12205957a369
13cb9c37300
1471c14673b
154192ab4c0
hex273754881

10527000705 has 48 divisors (see below), whose sum is σ = 20265039360. Its totient is φ = 5182512192.

The previous prime is 10527000703. The next prime is 10527000727. The reversal of 10527000705 is 50700072501.

It is not a de Polignac number, because 10527000705 - 21 = 10527000703 is a prime.

It is a super-2 number, since 2×105270007052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10527000703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207889 + ... + 253518.

It is an arithmetic number, because the mean of its divisors is an integer number (422188320).

Almost surely, 210527000705 is an apocalyptic number.

10527000705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10527000705 is a deficient number, since it is larger than the sum of its proper divisors (9738038655).

10527000705 is a wasteful number, since it uses less digits than its factorization.

10527000705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461447 (or 461428 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The spelling of 10527000705 in words is "ten billion, five hundred twenty-seven million, seven hundred five", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 169 195 351 507 585 845 1521 1755 2535 4563 7605 22815 461407 1384221 2307035 4152663 5998291 6921105 12457989 17994873 20763315 29991455 53984619 62289945 77977783 89974365 161953857 233933349 269923095 389888915 701800047 809769285 1169666745 2105400141 3509000235 10527000705