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132079319920000 = 2754175310916811
BaseRepresentation
bin11110000010000000011100…
…111100100010110110000000
3122022122122210220021120100201
4132002000130330202312000
5114302441421344420000
61144524222452054544
736551262450333565
oct3602003474426600
9568578726246321
10132079319920000
11390a2585880a02
1212991a35004454
135891046097b5b
14248895d35686c
151040a45ea996a
hex78201cf22d80

132079319920000 has 640 divisors, whose sum is σ = 357988887511200. Its totient is φ = 48335339520000.

The previous prime is 132079319919971. The next prime is 132079319920033. The reversal of 132079319920000 is 29913970231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7856711595 + ... + 7856728405.

Almost surely, 2132079319920000 is an apocalyptic number.

132079319920000 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 132079319920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178994443755600).

132079319920000 is an abundant number, since it is smaller than the sum of its proper divisors (225909567591200).

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

132079319920000 is a wasteful number, since it uses less digits than its factorization.

132079319920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17024 (or 16997 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The spelling of 132079319920000 in words is "one hundred thirty-two trillion, seventy-nine billion, three hundred nineteen million, nine hundred twenty thousand".