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132932119104 = 26322914295569
BaseRepresentation
bin111101111001101011…
…1110010101001000000
3110201010021020022212200
41323303113302221000
54134221110302404
6141022420353200
712414116240361
oct1736327625100
9421107208780
10132932119104
1151415796664
122191a845800
13c6c64acc55
146610a81b68
1536d0499839
hex1ef35f2a40

132932119104 has 168 divisors, whose sum is σ = 394511403000. Its totient is φ = 42745135104.

The previous prime is 132932119097. The next prime is 132932119129. The reversal of 132932119104 is 401911239231.

It is a happy number.

132932119104 is a `hidden beast` number, since 1 + 329 + 321 + 1 + 9 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115605504 + 132816513600 = 10752^2 + 364440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23867232 + ... + 23872800.

Almost surely, 2132932119104 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 132932119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197255701500).

132932119104 is an abundant number, since it is smaller than the sum of its proper divisors (261579283896).

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

132932119104 is a wasteful number, since it uses less digits than its factorization.

132932119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 132932119104 in words is "one hundred thirty-two billion, nine hundred thirty-two million, one hundred nineteen thousand, one hundred four".