Search a number
-
+
116111764224 = 283316798577
BaseRepresentation
bin110110000100011001…
…1001110101100000000
3102002201000202202202000
41230020303032230000
53400244102423344
6125201354024000
711250233466021
oct1541063165400
9362630682660
10116111764224
1145274078025
121a605718000
13ac45798041
145896ba6c48
15304895aa69
hex1b08cceb00

116111764224 has 72 divisors (see below), whose sum is σ = 343362934320. Its totient is φ = 38703919104.

The previous prime is 116111764213. The next prime is 116111764261. The reversal of 116111764224 is 422467111611.

116111764224 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 1 + 1 + 7 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8392377 + ... + 8406200.

Almost surely, 2116111764224 is an apocalyptic number.

It is an amenable number.

116111764224 is an abundant number, since it is smaller than the sum of its proper divisors (227251170096).

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

116111764224 is an equidigital number, since it uses as much as digits as its factorization.

116111764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16798602 (or 16798582 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

Adding to 116111764224 its reverse (422467111611), we get a palindrome (538578875835).

The spelling of 116111764224 in words is "one hundred sixteen billion, one hundred eleven million, seven hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 16798577 33597154 50395731 67194308 100791462 134388616 151187193 201582924 268777232 302374386 403165848 453561579 537554464 604748772 806331696 907123158 1075108928 1209497544 1612663392 1814246316 2150217856 2418995088 3225326784 3628492632 4300435712 4837990176 6450653568 7256985264 9675980352 12901307136 14513970528 19351960704 29027941056 38703921408 58055882112 116111764224