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133152645466755 = 32514062312104169
BaseRepresentation
bin11110010001101000000100…
…001000100100101010000011
3122110110021020210122201020200
4132101220010020210222003
5114423033104214414010
61151105251511340243
740021650453055065
oct3621500410445203
9573407223581220
10133152645466755
11394767a10a1412
1212b25a5b681683
13593b318766385
1424c489dd21735
15105d914c7dcc0
hex791a04224a83

133152645466755 has 24 divisors (see below), whose sum is σ = 230798192620320. Its totient is φ = 71014659999360.

The previous prime is 133152645466699. The next prime is 133152645466769. The reversal of 133152645466755 is 557664546251331.

It is a happy number.

133152645466755 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 5 + 26 + 4 + 546 + 67 + 5 + 5 = 666.

It is not a de Polignac number, because 133152645466755 - 213 = 133152645458563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133152645466692 and 133152645466701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62228311 + ... + 64332479.

It is an arithmetic number, because the mean of its divisors is an integer number (9616591359180).

Almost surely, 2133152645466755 is an apocalyptic number.

133152645466755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133152645466755 is a deficient number, since it is larger than the sum of its proper divisors (97645547153565).

133152645466755 is a wasteful number, since it uses less digits than its factorization.

133152645466755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510411 (or 3510408 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 63.

The spelling of 133152645466755 in words is "one hundred thirty-three trillion, one hundred fifty-two billion, six hundred forty-five million, four hundred sixty-six thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 45 1406231 2104169 4218693 6312507 7031155 10520845 12656079 18937521 21093465 31562535 63280395 94687605 2958947677039 8876843031117 14794738385195 26630529093351 44384215155585 133152645466755