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12527638900 = 2252722556661
BaseRepresentation
bin10111010101011010…
…01001100101110100
31012100001221222211221
423222231021211310
5201124033421100
65431034440124
7622306113400
oct135255114564
935301858757
1012527638900
115349586587
122517593044
131248575caa
1486bb2a100
154d4c4801a
hex2eab49974

12527638900 has 54 divisors (see below), whose sum is σ = 31623352278. Its totient is φ = 4295188800.

The previous prime is 12527638897. The next prime is 12527638901. The reversal of 12527638900 is 983672521.

It can be written as a sum of positive squares in 3 ways, for example, as 3285123856 + 9242515044 = 57316^2 + 96138^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12527638901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1273431 + ... + 1283230.

Almost surely, 212527638900 is an apocalyptic number.

12527638900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12527638900 is an abundant number, since it is smaller than the sum of its proper divisors (19095713378).

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

12527638900 is a wasteful number, since it uses less digits than its factorization.

12527638900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556689 (or 2556675 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 12527638900 in words is "twelve billion, five hundred twenty-seven million, six hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2556661 5113322 10226644 12783305 17896627 25566610 35793254 51133220 63916525 71586508 89483135 125276389 127833050 178966270 250552778 255666100 357932540 447415675 501105556 626381945 894831350 1252763890 1789662700 2505527780 3131909725 6263819450 12527638900