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132669135900 = 2233527192316063
BaseRepresentation
bin111101110001110110…
…0100101110000011100
3110200102221101101202000
41323203230211300130
54133201244322100
6140540344002300
712404444022450
oct1734354456034
9420387341660
10132669135900
11512a02a5474
1221866760390
13c683b72ba2
1465c7b86660
1536b734d900
hex1ee3b25c1c

132669135900 has 576 divisors, whose sum is σ = 535432396800. Its totient is φ = 27477584640.

The previous prime is 132669135883. The next prime is 132669135917. The reversal of 132669135900 is 9531966231.

It is an interprime number because it is at equal distance from previous prime (132669135883) and next prime (132669135917).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8251269 + ... + 8267331.

Almost surely, 2132669135900 is an apocalyptic number.

132669135900 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 132669135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267716198400).

132669135900 is an abundant number, since it is smaller than the sum of its proper divisors (402763260900).

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

132669135900 is a wasteful number, since it uses less digits than its factorization.

132669135900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16135 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 132669135900 in words is "one hundred thirty-two billion, six hundred sixty-nine million, one hundred thirty-five thousand, nine hundred".