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132009264780 = 2235311492391993
BaseRepresentation
bin111101011110001011…
…1011000011010001100
3110121201221201110201220
41322330113120122030
54130323332433110
6140351052403340
712352212144111
oct1727427303214
9417657643656
10132009264780
1150a91874538
1221701776550
13c5aa243bc3
146564296908
153679456370
hex1ebc5d868c

132009264780 has 192 divisors, whose sum is σ = 385910784000. Its totient is φ = 33679779840.

The previous prime is 132009264763. The next prime is 132009264781. The reversal of 132009264780 is 87462900231.

It is a super-2 number, since 2×1320092647802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132009264781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66235464 + ... + 66237456.

It is an arithmetic number, because the mean of its divisors is an integer number (2009952000).

Almost surely, 2132009264780 is an apocalyptic number.

132009264780 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 132009264780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192955392000).

132009264780 is an abundant number, since it is smaller than the sum of its proper divisors (253901519220).

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

132009264780 is a wasteful number, since it uses less digits than its factorization.

132009264780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 132009264780 in words is "one hundred thirty-two billion, nine million, two hundred sixty-four thousand, seven hundred eighty".