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129980692800 = 26325272414493
BaseRepresentation
bin111100100001101110…
…0111111100101000000
3110102111120121100010100
41321003130333211000
54112200024132200
6135413505202400
712251020442100
oct1710334774500
9412446540110
10129980692800
1150140792372
1221236330400
13c345ba485a
146410ac1200
1535ab2ecd00
hex1e4373f940

129980692800 has 756 divisors, whose sum is σ = 550637749116. Its totient is φ = 28978790400.

The previous prime is 129980692747. The next prime is 129980692813. The reversal of 129980692800 is 8296089921.

It can be written as a sum of positive squares in 6 ways, for example, as 484352064 + 129496340736 = 22008^2 + 359856^2 .

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 28927354 + ... + 28931846.

It is an arithmetic number, because the mean of its divisors is an integer number (728356811).

Almost surely, 2129980692800 is an apocalyptic number.

129980692800 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 129980692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275318874558).

129980692800 is an abundant number, since it is smaller than the sum of its proper divisors (420657056316).

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

129980692800 is a wasteful number, since it uses less digits than its factorization.

129980692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 129980692800 in words is "one hundred twenty-nine billion, nine hundred eighty million, six hundred ninety-two thousand, eight hundred".