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132025166286 = 231316794110771
BaseRepresentation
bin111101011110101010…
…0000010100111001110
3110121210001122100111120
41322331110002213032
54130341420310121
6140352421301410
712352464253146
oct1727524024716
9417701570446
10132025166286
1150a9a845582
1221706b64866
13c5b0620990
146566435926
15367aa47bc6
hex1ebd5029ce

132025166286 has 64 divisors (see below), whose sum is σ = 286395250176. Its totient is φ = 40333219200.

The previous prime is 132025166281. The next prime is 132025166311. The reversal of 132025166286 is 682661520231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132025166281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12252081 + ... + 12262851.

It is an arithmetic number, because the mean of its divisors is an integer number (4474925784).

Almost surely, 2132025166286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132025166286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143197625088).

132025166286 is an abundant number, since it is smaller than the sum of its proper divisors (154370083890).

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

132025166286 is a wasteful number, since it uses less digits than its factorization.

132025166286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 132025166286 in words is "one hundred thirty-two billion, twenty-five million, one hundred sixty-six thousand, two hundred eighty-six".

Divisors: 1 2 3 6 13 26 39 78 167 334 501 941 1002 1882 2171 2823 4342 5646 6513 10771 12233 13026 21542 24466 32313 36699 64626 73398 140023 157147 280046 314294 420069 471441 840138 942882 1798757 2042911 3597514 4085822 5396271 6128733 10135511 10792542 12257466 20271022 23383841 30406533 46767682 60813066 70151523 131761643 140303046 263523286 395284929 790569858 1692630337 3385260674 5077891011 10155782022 22004194381 44008388762 66012583143 132025166286