Search a number
-
+
12117177168 = 2431277197683
BaseRepresentation
bin10110100100011110…
…10111001101010000
31011021110121101012120
423102033113031100
5144303444132133
65322213054240
7606163210065
oct132217271520
934243541176
1012117177168
115158915608
122422027380
1311b1510925
1482d400c6c
154adbb9ab3
hex2d23d7350

12117177168 has 40 divisors (see below), whose sum is σ = 31327378848. Its totient is φ = 4035875712.

The previous prime is 12117177161. The next prime is 12117177179. The reversal of 12117177168 is 86177171121.

12117177168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117177161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37546 + ... + 160137.

Almost surely, 212117177168 is an apocalyptic number.

It is an amenable number.

12117177168 is an abundant number, since it is smaller than the sum of its proper divisors (19210201680).

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

12117177168 is a wasteful number, since it uses less digits than its factorization.

12117177168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198971 (or 198965 counting only the distinct ones).

The product of its digits is 32928, while the sum is 42.

The spelling of 12117177168 in words is "twelve billion, one hundred seventeen million, one hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1277 2554 3831 5108 7662 10216 15324 20432 30648 61296 197683 395366 593049 790732 1186098 1581464 2372196 3162928 4744392 9488784 252441191 504882382 757323573 1009764764 1514647146 2019529528 3029294292 4039059056 6058588584 12117177168