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132579840000 = 21235461283
BaseRepresentation
bin111101101111001011…
…1111101000000000000
3110200012201100200210110
41323132113331000000
54133010414340000
6140523434031320
712402311021526
oct1733627750000
9420181320713
10132579840000
1151254955103
1221840878540
13c66b50958a
1465b9d80316
1536ae5b0850
hex1ede5fd000

132579840000 has 520 divisors, whose sum is σ = 450565547872. Its totient is φ = 34652160000.

The previous prime is 132579839981. The next prime is 132579840007. The reversal of 132579840000 is 48975231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132579840007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 468479859 + ... + 468480141.

Almost surely, 2132579840000 is an apocalyptic number.

132579840000 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 132579840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225282773936).

132579840000 is an abundant number, since it is smaller than the sum of its proper divisors (317985707872).

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

132579840000 is an frugal number, since it uses more digits than its factorization.

132579840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 132579840000 in words is "one hundred thirty-two billion, five hundred seventy-nine million, eight hundred forty thousand".