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132862033920 = 2143572111759
BaseRepresentation
bin111101110111100110…
…0011100000000000000
3110200221101100122002010
41323233030130000000
54134100140041140
6141011434252520
712412305440400
oct1735714340000
9420841318063
10132862033920
115138a177620
12218bb287140
13c6b4b11725
14660563a800
1536c9253880
hex1eef31c000

132862033920 has 1440 divisors, whose sum is σ = 580935317760. Its totient is φ = 25543311360.

The previous prime is 132862033907. The next prime is 132862033939. The reversal of 132862033920 is 29330268231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2251898851 + ... + 2251898909.

It is an arithmetic number, because the mean of its divisors is an integer number (403427304).

Almost surely, 2132862033920 is an apocalyptic number.

132862033920 is a gapful number since it is divisible by the number (10) 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 132862033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290467658880).

132862033920 is an abundant number, since it is smaller than the sum of its proper divisors (448073283840).

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

132862033920 is a wasteful number, since it uses less digits than its factorization.

132862033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 132862033920 in words is "one hundred thirty-two billion, eight hundred sixty-two million, thirty-three thousand, nine hundred twenty".