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129379130496 = 2734711179533
BaseRepresentation
bin111100001111110011…
…0001101110010000000
3110100221122122210210000
41320133212031302000
54104432024133441
6135234055440000
712230064315120
oct1703746156200
9410848583700
10129379130496
114a962167740
12210a8986000
13c27b37cb25
146394c4cc80
1535735c22b6
hex1e1f98dc80

129379130496 has 640 divisors, whose sum is σ = 508328472960. Its totient is φ = 31624888320.

The previous prime is 129379130467. The next prime is 129379130519. The reversal of 129379130496 is 694031973921.

It is a happy number.

129379130496 is a `hidden beast` number, since 1 + 2 + 9 + 37 + 91 + 30 + 496 = 666.

129379130496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 13566946 + ... + 13576478.

It is an arithmetic number, because the mean of its divisors is an integer number (794263239).

Almost surely, 2129379130496 is an apocalyptic number.

129379130496 is a gapful number since it is divisible by the number (16) 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 129379130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254164236480).

129379130496 is an abundant number, since it is smaller than the sum of its proper divisors (378949342464).

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

129379130496 is a wasteful number, since it uses less digits than its factorization.

129379130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9594 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 129379130496 in words is "one hundred twenty-nine billion, three hundred seventy-nine million, one hundred thirty thousand, four hundred ninety-six".