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129995712000 = 293353711977
BaseRepresentation
bin111100100010001011…
…0010010011000000000
3110102112121212101121000
41321010112102120000
54112212400241000
6135415203132000
712251262214620
oct1710426223000
9412477771530
10129995712000
1150149210530
122123b374000
13c349032b5b
146412ab0880
1535ac7b8000
hex1e44592600

129995712000 has 1280 divisors, whose sum is σ = 599335925760. Its totient is φ = 26984448000.

The previous prime is 129995711981. The next prime is 129995712019. The reversal of 129995712000 is 217599921.

129995712000 is a `hidden beast` number, since 1 + 299 + 95 + 71 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129995711981) and next prime (129995712019).

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133055512 + ... + 133056488.

It is an arithmetic number, because the mean of its divisors is an integer number (468231192).

Almost surely, 2129995712000 is an apocalyptic number.

129995712000 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 129995712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299667962880).

129995712000 is an abundant number, since it is smaller than the sum of its proper divisors (469340213760).

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

129995712000 is an equidigital number, since it uses as much as digits as its factorization.

129995712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 129995712000 in words is "one hundred twenty-nine billion, nine hundred ninety-five million, seven hundred twelve thousand".