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129055708080 = 243351317535101
BaseRepresentation
bin111100000110001010…
…0011101001110110000
3110100010010002020122000
41320030110131032300
54103301230124310
6135142023414000
712216056263455
oct1701424351660
9410103066560
10129055708080
114a806645692
12210185b4300
13c229370c10
146363cdd82c
153554ed84c0
hex1e0c51d3b0

129055708080 has 640 divisors, whose sum is σ = 516544439040. Its totient is φ = 29328998400.

The previous prime is 129055708073. The next prime is 129055708081. The reversal of 129055708080 is 80807550921.

It is a happy number.

129055708080 is a `hidden beast` number, since 1 + 2 + 90 + 557 + 0 + 8 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (129055708081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25297530 + ... + 25302630.

It is an arithmetic number, because the mean of its divisors is an integer number (807100686).

Almost surely, 2129055708080 is an apocalyptic number.

129055708080 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 129055708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258272219520).

129055708080 is an abundant number, since it is smaller than the sum of its proper divisors (387488730960).

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

129055708080 is a wasteful number, since it uses less digits than its factorization.

129055708080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 129055708080 in words is "one hundred twenty-nine billion, fifty-five million, seven hundred eight thousand, eighty".