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132332210365146 = 2311172373257443617
BaseRepresentation
bin11110000101101011111110…
…011001000010001011011010
3122100112211120021021020210220
4132011223332121002023122
5114321112331323141041
61145240324520020510
736605454351550251
oct3605537631021332
9570484507236726
10132332210365146
113918a8589483a0
1212a12a51601736
1358abb48c306cc
142496cad9b3798
1510473e7926d66
hex785afe6422da

132332210365146 has 512 divisors, whose sum is σ = 325888555917312. Its totient is φ = 35330363228160.

The previous prime is 132332210365139. The next prime is 132332210365193. The reversal of 132332210365146 is 641563012233231.

It is a junction number, because it is equal to n+sod(n) for n = 132332210365098 and 132332210365107.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 214476839830 + ... + 214476840446.

It is an arithmetic number, because the mean of its divisors is an integer number (636501085776).

Almost surely, 2132332210365146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132332210365146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162944277958656).

132332210365146 is an abundant number, since it is smaller than the sum of its proper divisors (193556345552166).

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

132332210365146 is a wasteful number, since it uses less digits than its factorization.

132332210365146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446.

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 132332210365146 its reverse (641563012233231), we get a palindrome (773895222598377).

The spelling of 132332210365146 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, two hundred ten million, three hundred sixty-five thousand, one hundred forty-six".