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132164602245 = 32513733330809
BaseRepresentation
bin111101100010110011…
…1111100100110000101
3110122010210000102200100
41323011213330212011
54131133114232440
6140414322034313
712356106404034
oct1730547744605
9418123012610
10132164602245
1151061521905
12217457a8999
13c603491370
14657ab7071b
153687ddc230
hex1ec59fc985

132164602245 has 48 divisors (see below), whose sum is σ = 246748909680. Its totient is φ = 65054665728.

The previous prime is 132164602217. The next prime is 132164602261. The reversal of 132164602245 is 542206461231.

132164602245 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 4 + 602 + 2 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22538716641 + 109625885604 = 150129^2 + 331098^2 .

It is not a de Polignac number, because 132164602245 - 210 = 132164601221 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4274401 + ... + 4305209.

It is an arithmetic number, because the mean of its divisors is an integer number (5140602285).

Almost surely, 2132164602245 is an apocalyptic number.

132164602245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132164602245 is a deficient number, since it is larger than the sum of its proper divisors (114584307435).

132164602245 is a wasteful number, since it uses less digits than its factorization.

132164602245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38166 (or 38163 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 132164602245 in words is "one hundred thirty-two billion, one hundred sixty-four million, six hundred two thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 7333 21999 30809 36665 65997 92427 95329 109995 154045 277281 285987 329985 400517 462135 476645 857961 1201551 1386405 1429935 2002585 3604653 4289805 6007755 18023265 225922397 677767191 1129611985 2033301573 2936991161 3388835955 8810973483 10166507865 14684955805 26432920449 44054867415 132164602245