Search a number
-
+
181531964412 = 223253359265021
BaseRepresentation
bin1010100100010000100…
…1011111001111111100
3122100120021102021100100
42221010021133033330
510433234140330122
6215221124001100
716054350144441
oct2510411371774
9570507367310
10181531964412
116aa95074777
122b222830190
1314170148976
148b0145d9c8
154ac6e68aac
hex2a4425f3fc

181531964412 has 72 divisors (see below), whose sum is σ = 468834518880. Its totient is φ = 59203347840.

The previous prime is 181531964381. The next prime is 181531964429. The reversal of 181531964412 is 214469135181.

181531964412 is a `hidden beast` number, since 1 + 8 + 15 + 3 + 196 + 441 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552462 + ... + 817482.

It is an arithmetic number, because the mean of its divisors is an integer number (6511590540).

Almost surely, 2181531964412 is an apocalyptic number.

181531964412 is a gapful number since it is divisible by the number (12) 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 181531964412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234417259440).

181531964412 is an abundant number, since it is smaller than the sum of its proper divisors (287302554468).

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

181531964412 is a wasteful number, since it uses less digits than its factorization.

181531964412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265443 (or 265438 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 181531964412 in words is "one hundred eighty-one billion, five hundred thirty-one million, nine hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 359 477 636 718 954 1077 1436 1908 2154 3231 4308 6462 12924 19027 38054 57081 76108 114162 171243 228324 265021 342486 530042 684972 795063 1060084 1590126 2385189 3180252 4770378 9540756 14046113 28092226 42138339 56184452 84276678 95142539 126415017 168553356 190285078 252830034 285427617 380570156 505660068 570855234 856282851 1141710468 1712565702 3425131404 5042554567 10085109134 15127663701 20170218268 30255327402 45382991103 60510654804 90765982206 181531964412