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132241352472 = 23323119536197
BaseRepresentation
bin111101100101000110…
…0101110011100011000
3110122100010102202012100
41323022030232130120
54131312241234342
6140430103043400
712361030643445
oct1731214563430
9418303382170
10132241352472
11510a0883449
1221767440560
13c6163544b8
14658702c9cc
15368e9ece4c
hex1eca32e718

132241352472 has 96 divisors (see below), whose sum is σ = 359740349280. Its totient is φ = 43885524480.

The previous prime is 132241352447. The next prime is 132241352501. The reversal of 132241352472 is 274253142231.

132241352472 is a `hidden beast` number, since 1 + 3 + 22 + 41 + 3 + 524 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21336478 + ... + 21342674.

It is an arithmetic number, because the mean of its divisors is an integer number (3747295305).

Almost surely, 2132241352472 is an apocalyptic number.

132241352472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132241352472 is an abundant number, since it is smaller than the sum of its proper divisors (227498996808).

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

132241352472 is a wasteful number, since it uses less digits than its factorization.

132241352472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473 (or 7466 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 132241352472 in words is "one hundred thirty-two billion, two hundred forty-one million, three hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 311 622 933 953 1244 1866 1906 2488 2799 2859 3732 3812 5598 5718 6197 7464 7624 8577 11196 11436 12394 17154 18591 22392 22872 24788 34308 37182 49576 55773 68616 74364 111546 148728 223092 296383 446184 592766 889149 1185532 1778298 1927267 2371064 2667447 3556596 3854534 5334894 5781801 5905741 7113192 7709068 10669788 11563602 11811482 15418136 17345403 17717223 21339576 23127204 23622964 34690806 35434446 46254408 47245928 53151669 69381612 70868892 106303338 138763224 141737784 212606676 425213352 1836685451 3673370902 5510056353 7346741804 11020112706 14693483608 16530169059 22040225412 33060338118 44080450824 66120676236 132241352472