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132889689576 = 2332710911321407
BaseRepresentation
bin111101111000011010…
…1111011110111101000
3110201000022101200111200
41323300311323313220
54134124230031301
6141014303124200
712413062503210
oct1736065736750
9421008350450
10132889689576
11513a3846736
12219085a3660
13c6ba775617
146609199240
1536cb8b7c86
hex1ef0d7bde8

132889689576 has 192 divisors, whose sum is σ = 418791859200. Its totient is φ = 37285484544.

The previous prime is 132889689533. The next prime is 132889689577. The reversal of 132889689576 is 675986988231.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (132889689577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6197065 + ... + 6218471.

It is an arithmetic number, because the mean of its divisors is an integer number (2181207600).

Almost surely, 2132889689576 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 132889689576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209395929600).

132889689576 is an abundant number, since it is smaller than the sum of its proper divisors (285902169624).

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

132889689576 is a wasteful number, since it uses less digits than its factorization.

132889689576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21648 (or 21641 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 132889689576 in words is "one hundred thirty-two billion, eight hundred eighty-nine million, six hundred eighty-nine thousand, five hundred seventy-six".