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132656343164136 = 23341118610598087
BaseRepresentation
bin11110001010011001110110…
…001101100010010011101000
3122101200211012122022111020000
4132022121312031202103220
5114341420142322223021
61150045252134503000
736641050564102311
oct3612316615422350
9571624178274200
10132656343164136
11392a526a410770
1212a65830b04a60
13590359371411c
1424a885bc3d608
151050a68aa9b26
hex78a6763624e8

132656343164136 has 80 divisors (see below), whose sum is σ = 405338826356640. Its totient is φ = 40198891865760.

The previous prime is 132656343164131. The next prime is 132656343164161. The reversal of 132656343164136 is 631461343656231.

132656343164136 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 6 + 343 + 164 + 136 = 666.

132656343164136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132656343164131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9305291916 + ... + 9305306171.

It is an arithmetic number, because the mean of its divisors is an integer number (5066735329458).

Almost surely, 2132656343164136 is an apocalyptic number.

It is an amenable number.

132656343164136 is an abundant number, since it is smaller than the sum of its proper divisors (272682483192504).

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

132656343164136 is a wasteful number, since it uses less digits than its factorization.

132656343164136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18610598116 (or 18610598103 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 132656343164136 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, three hundred forty-three million, one hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 18610598087 37221196174 55831794261 74442392348 111663588522 148884784696 167495382783 204716578957 223327177044 334990765566 409433157914 446654354088 502486148349 614149736871 669981531132 818866315828 1004972296698 1228299473742 1339963062264 1507458445047 1637732631656 1842449210613 2009944593396 2456598947484 3014916890094 3684898421226 4019889186792 4913197894968 5527347631839 6029833780188 7369796842452 11054695263678 12059667560376 14739593684904 16582042895517 22109390527356 33164085791034 44218781054712 66328171582068 132656343164136