Search a number
-
+
117529265952 = 253472925369
BaseRepresentation
bin110110101110101001…
…0100100011100100000
3102020100211001022120000
41231131102210130200
53411144443002302
6125554152020000
711330325164100
oct1553522443440
9366324038500
10117529265952
114593123005a
121a940391600
13b110363a67
14598d153200
1530cd10b31c
hex1b5d4a4720

117529265952 has 180 divisors, whose sum is σ = 402083444070. Its totient is φ = 33579753984.

The previous prime is 117529265891. The next prime is 117529265969. The reversal of 117529265952 is 259562925711.

117529265952 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 29 + 26 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114538926096 + 2990339856 = 338436^2 + 54684^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 29 ways as a sum of consecutive naturals, for example, 335677 + ... + 589692.

Almost surely, 2117529265952 is an apocalyptic number.

117529265952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117529265952 is an abundant number, since it is smaller than the sum of its proper divisors (284554178118).

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

117529265952 is an equidigital number, since it uses as much as digits as its factorization.

117529265952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925405 (or 925381 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 117529265952 in words is "one hundred seventeen billion, five hundred twenty-nine million, two hundred sixty-five thousand, nine hundred fifty-two".