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132765514704 = 24321493617537
BaseRepresentation
bin111101110100101110…
…0001111101111010000
3110200200122201221121100
41323221130033233100
54133400432432304
6140554105424400
712410024153304
oct1735134175720
9420618657540
10132765514704
115133a743279
1221892a9b100
13c69ab19374
1465d68b3d04
1536c0a3a439
hex1ee970fbd0

132765514704 has 60 divisors (see below), whose sum is σ = 371808514116. Its totient is φ = 44225458176.

The previous prime is 132765514691. The next prime is 132765514751. The reversal of 132765514704 is 407415567231.

132765514704 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 65 + 514 + 70 + 4 = 666.

132765514704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 109264624704 + 23500890000 = 330552^2 + 153300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132765514704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93777 + ... + 523760.

Almost surely, 2132765514704 is an apocalyptic number.

It is an amenable number.

132765514704 is an abundant number, since it is smaller than the sum of its proper divisors (239042999412).

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

132765514704 is a wasteful number, since it uses less digits than its factorization.

132765514704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619044 (or 619035 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 132765514704 in words is "one hundred thirty-two billion, seven hundred sixty-five million, five hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1493 2986 4479 5972 8958 11944 13437 17916 23888 26874 35832 53748 71664 107496 214992 617537 1235074 1852611 2470148 3705222 4940296 5557833 7410444 9880592 11115666 14820888 22231332 29641776 44462664 88925328 921982741 1843965482 2765948223 3687930964 5531896446 7375861928 8297844669 11063792892 14751723856 16595689338 22127585784 33191378676 44255171568 66382757352 132765514704