Search a number
-
+
12950095925862 = 23219167977232079
BaseRepresentation
bin1011110001110010110111…
…0111100001001001100110
31200212000110110011220012100
42330130231313201021212
53144133244024111422
643313105243032530
72504420310102024
oct274345567411146
950760413156170
1012950095925862
1141431175a6217
121551994b0b746
1372c25ba63974
1432ab06345714
15176cdd43e7ac
hexbc72dde1266

12950095925862 has 96 divisors (see below), whose sum is σ = 29742704409600. Its totient is φ = 4060837718784.

The previous prime is 12950095925807. The next prime is 12950095925863. The reversal of 12950095925862 is 26852959005921.

12950095925862 is a `hidden beast` number, since 1 + 29 + 500 + 9 + 5 + 9 + 25 + 86 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12950095925862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12950095925863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55684339 + ... + 55916417.

It is an arithmetic number, because the mean of its divisors is an integer number (309819837600).

Almost surely, 212950095925862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12950095925862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871352204800).

12950095925862 is an abundant number, since it is smaller than the sum of its proper divisors (16792608483738).

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

12950095925862 is a wasteful number, since it uses less digits than its factorization.

12950095925862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233250 (or 233247 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 12950095925862 in words is "twelve trillion, nine hundred fifty billion, ninety-five million, nine hundred twenty-five thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 334 342 501 977 1002 1503 1954 2931 3006 3173 5862 6346 8793 9519 17586 18563 19038 28557 37126 55689 57114 111378 163159 167067 232079 326318 334134 464158 489477 696237 978954 1392474 1468431 2088711 2936862 3100021 4177422 4409501 6200042 8819002 9300063 13228503 18600126 26457006 27900189 38757193 39685509 55800378 77514386 79371018 116271579 226741183 232543158 348814737 453482366 680223549 697629474 736386667 1360447098 1472773334 2040670647 2209160001 4081341294 4308082477 4418320002 6627480003 8616164954 12924247431 13254960006 25848494862 37865777561 38772742293 75731555122 77545484586 113597332683 227194665366 340791998049 681583996098 719449773659 1438899547318 2158349320977 4316698641954 6475047962931 12950095925862