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117884196496 = 241131149145009
BaseRepresentation
bin110110111001001110…
…0100001011010010000
3102021021112220122201201
41231302130201122100
53412411323241441
6130053311240544
711342165065033
oct1556234413220
9367245818651
10117884196496
1145aa3612690
121aa1b219154
13b168a55231
1459c434501a
1530ee36ac31
hex1b72721690

117884196496 has 80 divisors (see below), whose sum is σ = 258929856000. Its totient is φ = 51506841600.

The previous prime is 117884196379. The next prime is 117884196509. The reversal of 117884196496 is 694691488711.

It is a happy number.

It is a super-3 number, since 3×1178841964963 (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 740440 + ... + 885448.

It is an arithmetic number, because the mean of its divisors is an integer number (3236623200).

Almost surely, 2117884196496 is an apocalyptic number.

117884196496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117884196496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129464928000).

117884196496 is an abundant number, since it is smaller than the sum of its proper divisors (141045659504).

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

117884196496 is a wasteful number, since it uses less digits than its factorization.

117884196496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145208 (or 145202 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 64.

The spelling of 117884196496 in words is "one hundred seventeen billion, eight hundred eighty-four million, one hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 149 176 248 298 341 496 596 682 1192 1364 1639 2384 2728 3278 4619 5456 6556 9238 13112 18476 26224 36952 50809 73904 101618 145009 203236 290018 406472 580036 812944 1160072 1595099 2320144 3190198 4495279 6380396 8990558 12760792 17981116 21606341 25521584 35962232 43212682 49448069 71924464 86425364 98896138 172850728 197792276 237669751 345701456 395584552 475339502 669796571 791169104 950679004 1339593142 1901358008 2679186284 3802716016 5358372568 7367762281 10716745136 14735524562 29471049124 58942098248 117884196496