Search a number
-
+
132925285584 = 243271312779873
BaseRepresentation
bin111101111001011110…
…1101110010011010000
3110201002210101011001100
41323302331232103100
54134212333114314
6141022014104400
712414004166520
oct1736275562320
9421083334040
10132925285584
1151411949523
12219184ab100
13c6c4c59750
14660dbc3680
1536cea99c09
hex1ef2f6e4d0

132925285584 has 240 divisors, whose sum is σ = 461464686592. Its totient is φ = 34780741632.

The previous prime is 132925285523. The next prime is 132925285607. The reversal of 132925285584 is 485582529231.

132925285584 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 2 + 52 + 8 + 5 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132925285584.

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, 1624272 + ... + 1704144.

Almost surely, 2132925285584 is an apocalyptic number.

132925285584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132925285584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230732343296).

132925285584 is an abundant number, since it is smaller than the sum of its proper divisors (328539401008).

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

132925285584 is a wasteful number, since it uses less digits than its factorization.

132925285584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80034 (or 80025 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 132925285584 in words is "one hundred thirty-two billion, nine hundred twenty-five million, two hundred eighty-five thousand, five hundred eighty-four".