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132214651316631 = 3313853441594277
BaseRepresentation
bin11110000011111110011111…
…010100110110100110010111
3122100010121010101011211021000
4132003332133110312212113
5114312201101214113011
61145110323341354343
736564123212251422
oct3603763724664627
9570117111154230
10132214651316631
1139144a11926254
12129b41032689b3
1358a0a3266c940
14249131a90a9b9
151044316dd6356
hex783f9f536997

132214651316631 has 32 divisors (see below), whose sum is σ = 211188047510720. Its totient is φ = 81267477800832.

The previous prime is 132214651316609. The next prime is 132214651316633. The reversal of 132214651316631 is 136613156412231.

132214651316631 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 4 + 6 + 5 + 1 + 3 + 1 + 6 + 631 = 666.

It is not a de Polignac number, because 132214651316631 - 211 = 132214651314583 is a prime.

It is a super-2 number, since 2×1322146513166312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214651316633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220497736 + ... + 221096541.

It is an arithmetic number, because the mean of its divisors is an integer number (6599626484710).

Almost surely, 2132214651316631 is an apocalyptic number.

132214651316631 is a deficient number, since it is larger than the sum of its proper divisors (78973396194089).

132214651316631 is a wasteful number, since it uses less digits than its factorization.

132214651316631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441595152 (or 441595146 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 132214651316631 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred fifty-one million, three hundred sixteen thousand, six hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 853 2559 7677 11089 23031 33267 99801 299403 441594277 1324782831 3974348493 5740725601 11923045479 17222176803 51666530409 154999591227 376679918281 1130039754843 3390119264529 4896838937653 10170357793587 14690516812959 44071550438877 132214651316631