Search a number
-
+
2925121994496 = 28361319233189
BaseRepresentation
bin101010100100001110110…
…110110111111100000000
3101100122020210002111000000
4222210032312313330000
5340411122212310441
610115441004000000
7421222151466042
oct52441666677400
911318223074000
102925121994496
11a285a01209a9
123b2aa9530000
13182ab78cb680
14a18104d7a92
1551150c782b6
hex2a90edb7f00

2925121994496 has 2016 divisors, whose sum is σ = 10809430732800. Its totient is φ = 780416778240.

The previous prime is 2925121994491. The next prime is 2925121994497. The reversal of 2925121994496 is 6944991215292.

2925121994496 is a `hidden beast` number, since 2 + 9 + 2 + 51 + 2 + 1 + 9 + 94 + 496 = 666.

2925121994496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (25194240) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925121994491) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 32866539220 + ... + 32866539308.

It is an arithmetic number, because the mean of its divisors is an integer number (5361820800).

Almost surely, 22925121994496 is an apocalyptic number.

2925121994496 is a gapful number since it is divisible by the number (26) 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 2925121994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404715366400).

2925121994496 is an abundant number, since it is smaller than the sum of its proper divisors (7884308738304).

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

2925121994496 is a wasteful number, since it uses less digits than its factorization.

2925121994496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 2925121994496 in words is "two trillion, nine hundred twenty-five billion, one hundred twenty-one million, nine hundred ninety-four thousand, four hundred ninety-six".