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132315224504544 = 2532463992284801
BaseRepresentation
bin11110000101011100001001…
…111101000111100011100000
3122100111012201111101010111200
4132011130021331013203200
5114320323034433121134
61145224435222041200
736604313416245624
oct3605341175074340
9570435644333450
10132315224504544
1139183631866974
1212a0b6b0b79200
1358aa36cb4b013
14249613bb35184
151046c515e4499
hex785709f478e0

132315224504544 has 72 divisors (see below), whose sum is σ = 377084101316832. Its totient is φ = 44009815449600.

The previous prime is 132315224504543. The next prime is 132315224504591. The reversal of 132315224504544 is 445405422513231.

132315224504544 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 52 + 2 + 4 + 50 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 132315224504544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132315224504543) 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 11 ways as a sum of consecutive naturals, for example, 496009057 + ... + 496275744.

It is an arithmetic number, because the mean of its divisors is an integer number (5237279184956).

Almost surely, 2132315224504544 is an apocalyptic number.

It is an amenable number.

132315224504544 is an abundant number, since it is smaller than the sum of its proper divisors (244768876812288).

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

132315224504544 is a wasteful number, since it uses less digits than its factorization.

132315224504544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992285280 (or 992285269 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 132315224504544 in words is "one hundred thirty-two trillion, three hundred fifteen billion, two hundred twenty-four million, five hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 463 926 1389 1852 2778 3704 4167 5556 7408 8334 11112 14816 16668 22224 33336 44448 66672 133344 992284801 1984569602 2976854403 3969139204 5953708806 7938278408 8930563209 11907417612 15876556816 17861126418 23814835224 31753113632 35722252836 47629670448 71444505672 95259340896 142889011344 285778022688 459427862863 918855725726 1378283588589 1837711451452 2756567177178 3675422902904 4134850765767 5513134354356 7350845805808 8269701531534 11026268708712 14701691611616 16539403063068 22052537417424 33078806126136 44105074834848 66157612252272 132315224504544