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132530764283766 = 232157269317414387
BaseRepresentation
bin11110001000100100111001…
…001000000111111101110110
3122101020211001211111101120200
4132020210321020013331312
5114332341001124040031
61145511443111341330
736626013613164462
oct3610447110077566
9571224054441520
10132530764283766
1139256a88406212
1212a45424981846
1358c479c788514
1424a27479c94a2
15104c668e528e6
hex788939207f76

132530764283766 has 48 divisors (see below), whose sum is σ = 289086294158064. Its totient is φ = 43879237376832.

The previous prime is 132530764283761. The next prime is 132530764283839. The reversal of 132530764283766 is 667382467035231.

132530764283766 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 0 + 76 + 428 + 37 + 66 = 666.

132530764283766 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1325307642837662 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132530764283761) 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, 1096776 + ... + 16317611.

It is an arithmetic number, because the mean of its divisors is an integer number (6022631128293).

Almost surely, 2132530764283766 is an apocalyptic number.

132530764283766 is an abundant number, since it is smaller than the sum of its proper divisors (156555529874298).

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

132530764283766 is a wasteful number, since it uses less digits than its factorization.

132530764283766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17417245 (or 17417242 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 132530764283766 in words is "one hundred thirty-two trillion, five hundred thirty billion, seven hundred sixty-four million, two hundred eighty-three thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2693 2826 5386 8079 16158 24237 48474 422801 845602 1268403 2536806 3805209 7610418 17414387 34828774 52243161 104486322 156729483 313458966 2734058759 5468117518 8202176277 16404352554 24606528831 46896944191 49213057662 93793888382 140690832573 281381665146 422072497719 844144995438 7362820237987 14725640475974 22088460713961 44176921427922 66265382141883 132530764283766