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133442522532 = 223211532119963
BaseRepresentation
bin111110001000111001…
…0110100110110100100
3110202102211122111202100
41330101302310312210
54141242241210112
6141145212212100
712432554504124
oct1742162646644
9422384574670
10133442522532
1151657909280
1221a4176a030
13c778168407
14665c784c84
1537101ba2dc
hex1f11cb4da4

133442522532 has 108 divisors (see below), whose sum is σ = 375054969744. Its totient is φ = 39673832640.

The previous prime is 133442522489. The next prime is 133442522539. The reversal of 133442522532 is 235225244331.

133442522532 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 425 + 225 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133442522539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1052383 + ... + 1172345.

Almost surely, 2133442522532 is an apocalyptic number.

133442522532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133442522532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187527484872).

133442522532 is an abundant number, since it is smaller than the sum of its proper divisors (241612447212).

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

133442522532 is a wasteful number, since it uses less digits than its factorization.

133442522532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120090 (or 120032 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 133442522532 its reverse (235225244331), we get a palindrome (368667766863).

The spelling of 133442522532 in words is "one hundred thirty-three billion, four hundred forty-two million, five hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 2809 3498 5247 5618 6996 8427 10494 11236 16854 20988 25281 30899 33708 50562 61798 92697 101124 119963 123596 185394 239926 278091 359889 370788 479852 556182 719778 1079667 1112364 1319593 1439556 2159334 2639186 3958779 4318668 5278372 6358039 7917558 11876337 12716078 15835116 19074117 23752674 25432156 38148234 47505348 57222351 69938429 76296468 114444702 139876858 209815287 228889404 279753716 336976067 419630574 629445861 673952134 839261148 1010928201 1258891722 1347904268 2021856402 2517783444 3032784603 3706736737 4043712804 6065569206 7413473474 11120210211 12131138412 14826946948 22240420422 33360630633 44480840844 66721261266 133442522532