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27426248260 = 22523324124421
BaseRepresentation
bin11001100010101110…
…110101011001000100
32121210101022202201121
4121202232311121010
5422132104421020
620333251403324
71660435156315
oct314256653104
977711282647
1027426248260
11106a4447284
125394bb3544
1327810b2588
1414826ba60c
15aa7bd0baa
hex662bb5644

27426248260 has 48 divisors (see below), whose sum is σ = 58084698672. Its totient is φ = 10877644800.

The previous prime is 27426248251. The next prime is 27426248309. The reversal of 27426248260 is 6284262472.

It can be written as a sum of positive squares in 8 ways, for example, as 5983331904 + 21442916356 = 77352^2 + 146434^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110850 + ... + 1135270.

It is an arithmetic number, because the mean of its divisors is an integer number (1210097889).

Almost surely, 227426248260 is an apocalyptic number.

27426248260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27426248260 is an abundant number, since it is smaller than the sum of its proper divisors (30658450412).

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

27426248260 is a wasteful number, since it uses less digits than its factorization.

27426248260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24904 (or 24902 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 27426248260 in words is "twenty-seven billion, four hundred twenty-six million, two hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 233 241 466 482 932 964 1165 1205 2330 2410 4660 4820 24421 48842 56153 97684 112306 122105 224612 244210 280765 488420 561530 1123060 5690093 5885461 11380186 11770922 22760372 23541844 28450465 29427305 56900930 58854610 113801860 117709220 1371312413 2742624826 5485249652 6856562065 13713124130 27426248260