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27257117130 = 2325429770481
BaseRepresentation
bin11001011000101001…
…101001100111001010
32121100121002000102200
4121120221221213022
5421310310222010
620304410341030
71653312446535
oct313051514712
977317060380
1027257117130
1110617a28591
12534842a776
132755045899
141468051a1c
15a97e22cc0
hex658a699ca

27257117130 has 48 divisors (see below), whose sum is σ = 70886002824. Its totient is φ = 7266769920.

The previous prime is 27257117123. The next prime is 27257117131. The reversal of 27257117130 is 3171175272.

It is a happy number.

27257117130 is a `hidden beast` number, since 2 + 72 + 571 + 1 + 7 + 13 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26908137369 + 348979761 = 164037^2 + 18681^2 .

It is not an unprimeable number, because it can be changed into a prime (27257117131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 351490 + ... + 421970.

Almost surely, 227257117130 is an apocalyptic number.

27257117130 is an abundant number, since it is smaller than the sum of its proper divisors (43628885694).

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

27257117130 is a wasteful number, since it uses less digits than its factorization.

27257117130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74791 (or 74788 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 27257117130 in words is "twenty-seven billion, two hundred fifty-seven million, one hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4297 8594 12891 21485 25782 38673 42970 64455 70481 77346 128910 140962 193365 211443 352405 386730 422886 634329 704810 1057215 1268658 2114430 3171645 6343290 302856857 605713714 908570571 1514284285 1817141142 2725711713 3028568570 4542852855 5451423426 9085705710 13628558565 27257117130