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132034645215304 = 231310733193574897
BaseRepresentation
bin11110000001010110110110…
…001000000100100001001000
3122022111101111102221102120021
4132001112312020010201020
5114301223423133342204
61144451513442110224
736545121410530246
oct3601266610044110
9568441442842507
10132034645215304
11390856400a7057
121298524764b374
135889a766a0250
142486721da3796
15103e7cddc5154
hex7815b6204848

132034645215304 has 64 divisors (see below), whose sum is σ = 269181239644800. Its totient is φ = 60351337073664.

The previous prime is 132034645215287. The next prime is 132034645215359. The reversal of 132034645215304 is 403512546430231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35146384 + ... + 38721280.

It is an arithmetic number, because the mean of its divisors is an integer number (4205956869450).

Almost surely, 2132034645215304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132034645215304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134590619822400).

132034645215304 is an abundant number, since it is smaller than the sum of its proper divisors (137146594429496).

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

132034645215304 is a wasteful number, since it uses less digits than its factorization.

132034645215304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578342 (or 3578338 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 132034645215304 in words is "one hundred thirty-two trillion, thirty-four billion, six hundred forty-five million, two hundred fifteen thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2782 3319 5564 6638 11128 13276 26552 43147 86294 172588 345176 355133 710266 1420532 2841064 3574897 4616729 7149794 9233458 14299588 18466916 28599176 36933832 46473661 92947322 185894644 371789288 382513979 765027958 1530055916 3060111832 4972681727 9945363454 11865083143 19890726908 23730166286 39781453816 47460332572 94920665144 154246080859 308492161718 616984323436 1233968646872 1269563896301 2539127792602 5078255585204 10156511170408 16504330651913 33008661303826 66017322607652 132034645215304