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132975526266 = 232112296434561
BaseRepresentation
bin111101111010111110…
…1011000000101111010
3110201020021220122022100
41323311331120011322
54134313213320031
6141031011004230
712415154216022
oct1736575300572
9421207818270
10132975526266
1151438244050
1221931299676
13c70249a56b
146616740a82
1536d41c0de6
hex1ef5f5817a

132975526266 has 96 divisors (see below), whose sum is σ = 316238569920. Its totient is φ = 40048473600.

The previous prime is 132975526247. The next prime is 132975526267. The reversal of 132975526266 is 662625579231.

It is a happy number.

132975526266 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 7 + 5 + 5 + 2 + 626 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (132975526267) 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 47 ways as a sum of consecutive naturals, for example, 29152626 + ... + 29157186.

It is an arithmetic number, because the mean of its divisors is an integer number (3294151770).

Almost surely, 2132975526266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132975526266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158119284960).

132975526266 is an abundant number, since it is smaller than the sum of its proper divisors (183263043654).

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

132975526266 is a wasteful number, since it uses less digits than its factorization.

132975526266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 5449 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 132975526266 in words is "one hundred thirty-two billion, nine hundred seventy-five million, five hundred twenty-six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 229 458 643 687 1286 1374 1929 2061 2519 3858 4122 4561 5038 5787 7073 7557 9122 11574 13683 14146 15114 21219 22671 27366 41049 42438 45342 50171 63657 82098 100342 127314 147247 150513 294494 301026 441741 451539 883482 903078 1044469 1325223 1619717 2088938 2650446 2932723 3133407 3239434 4859151 5865446 6266814 8798169 9400221 9718302 11489159 14577453 17596338 18800442 22978318 26394507 29154906 32259953 34467477 52789014 64519906 68934954 96779859 103402431 193559718 206804862 290339577 580679154 671593567 1343187134 2014780701 4029561402 6044342103 7387529237 12088684206 14775058474 22162587711 44325175422 66487763133 132975526266