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132653765317684 = 22132780991734113
BaseRepresentation
bin11110001010010111011100…
…100011110101010000110100
3122101200120112222122022200111
4132022113130203311100310
5114341344402410131214
61150044144250352404
736640626652550062
oct3612273443652064
9571616488568614
10132653765317684
11392a4167277556
1212a6523172b704
1359032726298b0
1424a8695727032
1510509676035c4
hex78a5dc8f5434

132653765317684 has 24 divisors (see below), whose sum is σ = 250010319613320. Its totient is φ = 61222612475904.

The previous prime is 132653765317679. The next prime is 132653765317687. The reversal of 132653765317684 is 486713567356231.

It can be written as a sum of positive squares in 4 ways, for example, as 48821942052900 + 83831823264784 = 6987270^2 + 9155972^2 .

It is a super-3 number, since 3×1326537653176843 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132653765317687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44420989 + ... + 47313124.

It is an arithmetic number, because the mean of its divisors is an integer number (10417096650555).

Almost surely, 2132653765317684 is an apocalyptic number.

It is an amenable number.

132653765317684 is a deficient number, since it is larger than the sum of its proper divisors (117356554295636).

132653765317684 is a wasteful number, since it uses less digits than its factorization.

132653765317684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91761939 (or 91761937 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 67.

The spelling of 132653765317684 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, seven hundred sixty-five million, three hundred seventeen thousand, six hundred eighty-four".

Divisors: 1 2 4 13 26 52 27809 55618 111236 361517 723034 1446068 91734113 183468226 366936452 1192543469 2385086938 4770173876 2551033948417 5102067896834 10204135793668 33163441329421 66326882658842 132653765317684