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117038567881 = 313210932
BaseRepresentation
bin110110100000000001…
…0101101000111001001
3102012002121201021100101
41231000002231013021
53404143333133011
6125433342405401
711312216261344
oct1550002550711
9365077637311
10117038567881
11456aa247364
121a823b90861
13b0627b7881
145943cdd45b
15309eece2c1
hex1b400ad1c9

117038567881 has 9 divisors (see below), whose sum is σ = 117521209269. Its totient is φ = 116557904736.

The previous prime is 117038567857. The next prime is 117038567903. The reversal of 117038567881 is 188765830711.

The square root of 117038567881 is 342109.

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

It can be written as a sum of positive squares in 4 ways, for example, as 197655481 + 116840912400 = 14059^2 + 341820^2 .

It is not a de Polignac number, because 117038567881 - 213 = 117038559689 is a prime.

It is a super-2 number, since 2×1170385678812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117038567831) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107079571 + ... + 107080663.

It is an arithmetic number, because the mean of its divisors is an integer number (13057912141).

Almost surely, 2117038567881 is an apocalyptic number.

117038567881 is the 342109-th square number.

117038567881 is the 171055-th centered octagonal number.

It is an amenable number.

117038567881 is a deficient number, since it is larger than the sum of its proper divisors (482641388).

117038567881 is an frugal number, since it uses more digits than its factorization.

117038567881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 55.

The spelling of 117038567881 in words is "one hundred seventeen billion, thirty-eight million, five hundred sixty-seven thousand, eight hundred eighty-one".

Divisors: 1 313 1093 97969 342109 1194649 107080117 373925137 117038567881