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132564808929 = 37172316111551
BaseRepresentation
bin111101101110101111…
…0100111010011100001
3110200011200002001001010
41323131132213103201
54132443042341204
6140522135531133
712402036166260
oct1733536472341
9420150061033
10132564808929
1151247419033
1221837829aa9
13c668375a57
1465b7d8a5d7
1536ad0e1d89
hex1edd7a74e1

132564808929 has 96 divisors (see below), whose sum is σ = 225157906432. Its totient is φ = 67858560000.

The previous prime is 132564808907. The next prime is 132564808939. The reversal of 132564808929 is 929808465231.

It is not a de Polignac number, because 132564808929 - 29 = 132564808417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132564808939) 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 95 ways as a sum of consecutive naturals, for example, 11470704 + ... + 11482254.

Almost surely, 2132564808929 is an apocalyptic number.

It is an amenable number.

132564808929 is a deficient number, since it is larger than the sum of its proper divisors (92593097503).

132564808929 is a wasteful number, since it uses less digits than its factorization.

132564808929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687 (or 11670 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 132564808929 in words is "one hundred thirty-two billion, five hundred sixty-four million, eight hundred eight thousand, nine hundred twenty-nine".

Divisors: 1 3 7 17 21 31 51 61 93 119 183 217 289 357 427 527 651 867 1037 1281 1581 1891 2023 3111 3689 5673 6069 7259 8959 11067 11551 13237 17629 21777 26877 32147 34653 39711 52887 62713 80857 96441 123403 188139 196367 225029 242571 358081 370209 546499 589101 675087 704611 1074243 1374569 1639497 2113833 2506567 3338239 3825493 4123707 4932277 6087377 7519701 10014717 11476479 11978387 14796831 18262131 21842941 23367673 35935161 42611639 65528823 70103019 83848709 103485409 127834917 152900587 203632579 251546127 310456227 371329997 458701761 610897737 724397863 1113989991 1425428053 2173193589 2599309979 4276284159 6312609949 7797929937 18937829847 44188269643 132564808929