Search a number
-
+
129250645311888 = 2432799710310311103
BaseRepresentation
bin11101011000110110000010…
…110011010000000110010000
3121221122020111200221221220100
4131120312002303100012100
5113420120310144440023
61134520532102212400
736140023324022112
oct3530660263200620
9557566450857810
10129250645311888
11382019887a29a1
12125b5783724100
13571738bc7a6a9
1423cba9c1473b2
15ee218c619c43
hex758d82cd0190

129250645311888 has 480 divisors, whose sum is σ = 374371878666240. Its totient is φ = 41612716154880.

The previous prime is 129250645311871. The next prime is 129250645311899. The reversal of 129250645311888 is 888113546052921.

129250645311888 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 5 + 0 + 6 + 4 + 531 + 18 + 88 = 666.

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 95 ways as a sum of consecutive naturals, for example, 117181001545 + ... + 117181002647.

It is an arithmetic number, because the mean of its divisors is an integer number (779941413888).

Almost surely, 2129250645311888 is an apocalyptic number.

129250645311888 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 129250645311888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187185939333120).

129250645311888 is an abundant number, since it is smaller than the sum of its proper divisors (245121233354352).

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

129250645311888 is a wasteful number, since it uses less digits than its factorization.

129250645311888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 129250645311888 in words is "one hundred twenty-nine trillion, two hundred fifty billion, six hundred forty-five million, three hundred eleven thousand, eight hundred eighty-eight".