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27828986260 = 2256132269901
BaseRepresentation
bin11001111010101111…
…001010000110010100
32122211110010222101211
4121322233022012110
5423443210030020
620441235431204
72003425323505
oct317257120624
978743128354
1027828986260
11108908122a9
125487a55504
13281667219a
1414bdd94bac
15acd23585a
hex67abca194

27828986260 has 24 divisors (see below), whose sum is σ = 58536232776. Its totient is φ = 11113430400.

The previous prime is 27828986249. The next prime is 27828986267. The reversal of 27828986260 is 6268982872.

It can be written as a sum of positive squares in 4 ways, for example, as 1893816324 + 25935169936 = 43518^2 + 161044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27828986195 and 27828986204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27828986267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1122691 + ... + 1147210.

It is an arithmetic number, because the mean of its divisors is an integer number (2439009699).

Almost surely, 227828986260 is an apocalyptic number.

27828986260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27828986260 is an abundant number, since it is smaller than the sum of its proper divisors (30707246516).

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

27828986260 is a wasteful number, since it uses less digits than its factorization.

27828986260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270523 (or 2270521 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 27828986260 in words is "twenty-seven billion, eight hundred twenty-eight million, nine hundred eighty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 613 1226 2452 3065 6130 12260 2269901 4539802 9079604 11349505 22699010 45398020 1391449313 2782898626 5565797252 6957246565 13914493130 27828986260