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117166338 = 2388929
BaseRepresentation
bin1101111101111…
…01000100000010
322011110200000000
412332331010002
5214443310323
615343140430
72621616552
oct676750402
9264420000
10117166338
1160156893
12332a4716
131b3741c3
14117bd162
15a445e43
hex6fbd102

117166338 has 36 divisors (see below), whose sum is σ = 263640390. Its totient is φ = 39051072.

The previous prime is 117166333. The next prime is 117166339. The reversal of 117166338 is 833661711.

117166338 is a `hidden beast` number, since 1 + 1 + 7 + 16 + 633 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116057529 + 1108809 = 10773^2 + 1053^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (117166333) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8658 + ... + 17586.

Almost surely, 2117166338 is an apocalyptic number.

117166338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117166338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131820195).

117166338 is an abundant number, since it is smaller than the sum of its proper divisors (146474052).

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

117166338 is an frugal number, since it uses more digits than its factorization.

117166338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8934 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 117166338 is about 10824.3400722631. The cubic root of 117166338 is about 489.3289968647.

The spelling of 117166338 in words is "one hundred seventeen million, one hundred sixty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 8929 13122 17858 26787 53574 80361 160722 241083 482166 723249 1446498 2169747 4339494 6509241 13018482 19527723 39055446 58583169 117166338