Base | Representation |
---|---|
bin | 11110000010001011000101… |
… | …101010000111100001000000 |
3 | 122022200202021210212201110111 |
4 | 132002023011222013201000 |
5 | 114303133314013423233 |
6 | 1144533352020041104 |
7 | 36552145453516564 |
oct | 3602130552074100 |
9 | 568622253781414 |
10 | 132090740373568 |
11 | 390a7406384789 |
12 | 129940a1833194 |
13 | 58921461457a2 |
14 | 2489323dd36a4 |
15 | 1040eb38ecacd |
hex | 7822c5a87840 |
132090740373568 has 448 divisors, whose sum is σ = 292137411428352. Its totient is φ = 59078447267840.
The previous prime is 132090740373563. The next prime is 132090740373587. The reversal of 132090740373568 is 865373047090231.
It is not an unprimeable number, because it can be changed into a prime (132090740373563) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21608166480 + ... + 21608172592.
It is an arithmetic number, because the mean of its divisors is an integer number (652092436224).
It is a 1-persistent number, because it is pandigital, but 2⋅132090740373568 = 264181480747136 is not.
Almost surely, 2132090740373568 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132090740373568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146068705714176).
132090740373568 is an abundant number, since it is smaller than the sum of its proper divisors (160046671054784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132090740373568 is a wasteful number, since it uses less digits than its factorization.
132090740373568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6402 (or 6392 counting only the distinct ones).
The product of its (nonzero) digits is 22861440, while the sum is 58.
The spelling of 132090740373568 in words is "one hundred thirty-two trillion, ninety billion, seven hundred forty million, three hundred seventy-three thousand, five hundred sixty-eight".
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