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132965295966 = 23217922747093
BaseRepresentation
bin111101111010101011…
…0010110011101011110
3110201012120122212222100
41323311112112131132
54134303103432331
6141030003425530
712415001240046
oct1736526263536
9421176585870
10132965295966
1151432496958
12219299852a6
13c700327c29
14661523a726
1536d334eae6
hex1ef559675e

132965295966 has 48 divisors (see below), whose sum is σ = 305077569264. Its totient is φ = 41709196032.

The previous prime is 132965295961. The next prime is 132965296001. The reversal of 132965295966 is 669592569231.

132965295966 is a `hidden beast` number, since 1 + 32 + 9 + 6 + 5 + 2 + 9 + 596 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132965295961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799916 + ... + 2847008.

It is an arithmetic number, because the mean of its divisors is an integer number (6355782693).

Almost surely, 2132965295966 is an apocalyptic number.

132965295966 is an abundant number, since it is smaller than the sum of its proper divisors (172112273298).

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

132965295966 is a wasteful number, since it uses less digits than its factorization.

132965295966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56345 (or 56342 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 63.

The spelling of 132965295966 in words is "one hundred thirty-two billion, nine hundred sixty-five million, two hundred ninety-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 9227 18454 27681 47093 55362 83043 94186 141279 156859 166086 282558 313718 423837 470577 800581 847674 941154 1411731 1601162 2401743 2823462 4803486 7205229 14410458 434527111 869054222 1303581333 2607162666 3910743999 7386960887 7821487998 14773921774 22160882661 44321765322 66482647983 132965295966