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132755815724841 = 34172753072
BaseRepresentation
bin11110001011110110011111…
…001111001111011100101001
3122102001022222001111010210000
4132023312133033033130221
5114400032402311143331
61150203102501013213
736651201604652031
oct3613663717173451
9572038861433700
10132755815724841
1139333475048921
1212a80b720b4209
13590ca86b821ba
1424ad5b6c048c1
15105343b85b0e6
hex78bd9f3cf729

132755815724841 has 45 divisors (see below), whose sum is σ = 210668792883879. Its totient is φ = 83296660620096.

The previous prime is 132755815724827. The next prime is 132755815724911. The reversal of 132755815724841 is 148427518557231.

The square root of 132755815724841 is 11521971.

It is a perfect power (a square), and thus also a powerful number.

132755815724841 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 5 + 5 + 81 + 5 + 72 + 484 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103356603938025 + 29399211786816 = 10166445^2 + 5422104^2 .

It is not a de Polignac number, because 132755815724841 - 211 = 132755815722793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132755815724801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1762823910 + ... + 1762899216.

Almost surely, 2132755815724841 is an apocalyptic number.

132755815724841 is the 11521971-st square number.

132755815724841 is the 5760986-th centered octagonal number.

It is an amenable number.

132755815724841 is a deficient number, since it is larger than the sum of its proper divisors (77912977159038).

132755815724841 is an frugal number, since it uses more digits than its factorization.

132755815724841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150660 (or 75327 counting only the distinct ones).

The product of its digits is 75264000, while the sum is 63.

The spelling of 132755815724841 in words is "one hundred thirty-two trillion, seven hundred fifty-five billion, eight hundred fifteen million, seven hundred twenty-four thousand, eight hundred forty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 23409 75307 225921 677763 1280219 2033289 3840657 6099867 11521971 21763723 34565913 65291169 103697739 195873507 587620521 1762861563 5671144249 17013432747 51040298241 96409452233 153120894723 289228356699 459362684169 867685070097 1638960687961 2603055210291 4916882063883 7809165630873 14750646191649 44251938574947 132755815724841