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117393261129 = 3219260112
BaseRepresentation
bin110110101010100101…
…1110000001001001001
3102020000100010120000100
41231111023300021021
53410410133324004
6125532453000013
711324054153424
oct1552513601111
9366010116010
10117393261129
1145871487681
121a902923009
13b0bb125031
14597906c9bb
1530c11e3739
hex1b552f0249

117393261129 has 27 divisors (see below), whose sum is σ = 178992172749. Its totient is φ = 74130777720.

The previous prime is 117393261119. The next prime is 117393261131. The reversal of 117393261129 is 921162393711.

The square root of 117393261129 is 342627.

It is a perfect power (a square), and thus also a powerful number.

117393261129 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 9 + 3 + 2 + 611 + 29 = 666.

It is a de Polignac number, because none of the positive numbers 2k-117393261129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117393261119) 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 26 ways as a sum of consecutive naturals, for example, 19526734 + ... + 19532744.

Almost surely, 2117393261129 is an apocalyptic number.

117393261129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

117393261129 is the 342627-th square number.

117393261129 is the 171314-th centered octagonal number.

It is an amenable number.

117393261129 is a deficient number, since it is larger than the sum of its proper divisors (61598911620).

117393261129 is an frugal number, since it uses more digits than its factorization.

117393261129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 6033 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The spelling of 117393261129 in words is "one hundred seventeen billion, three hundred ninety-three million, two hundred sixty-one thousand, one hundred twenty-nine".

Divisors: 1 3 9 19 57 171 361 1083 3249 6011 18033 54099 114209 342627 1027881 2169971 6509913 19529739 36132121 108396363 325189089 686510299 2059530897 6178592691 13043695681 39131087043 117393261129