Search a number
-
+
129967543008 = 253659891061
BaseRepresentation
bin111100100001010101…
…0110101001011100000
3110102110122212021000000
41321002222311023200
54112133142334013
6135412315300000
712250500613362
oct1710252651340
9412418767000
10129967543008
1150134320776
1221231a4a600
13c34324c404
14640d05ad32
1535aa0a1973
hex1e42ab52e0

129967543008 has 336 divisors, whose sum is σ = 394892593200. Its totient is φ = 42070026240.

The previous prime is 129967543007. The next prime is 129967543021. The reversal of 129967543008 is 800345769921.

129967543008 is a `hidden beast` number, since 1 + 2 + 9 + 96 + 7 + 543 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129967543007) 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 55 ways as a sum of consecutive naturals, for example, 122494798 + ... + 122495858.

It is an arithmetic number, because the mean of its divisors is an integer number (1175275575).

It is a 1-persistent number, because it is pandigital, but 2⋅129967543008 = 259935086016 is not.

Almost surely, 2129967543008 is an apocalyptic number.

129967543008 is a gapful number since it is divisible by the number (18) 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 129967543008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197446296600).

129967543008 is an abundant number, since it is smaller than the sum of its proper divisors (264925050192).

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

129967543008 is an equidigital number, since it uses as much as digits as its factorization.

129967543008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 129967543008 in words is "one hundred twenty-nine billion, nine hundred sixty-seven million, five hundred forty-three thousand, eight".