Search a number
-
+
2994428165760 = 273451731432549
BaseRepresentation
bin101011100100110001110…
…100111011111010000000
3101121021010211212202210000
4223210301310323322000
5343030042102301020
610211342111440000
7426224502306303
oct53446164737200
911537124782700
102994428165760
11a54a256a9199
1240440bb26000
131894b1387875
14a4d06d00b3a
1552d5a4d5090
hex2b931d3be80

2994428165760 has 1280 divisors, whose sum is σ = 11964433536000. Its totient is φ = 710106808320.

The previous prime is 2994428165759. The next prime is 2994428165767. The reversal of 2994428165760 is 675618244992.

2994428165760 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 42 + 8 + 16 + 576 + 0 = 666.

2994428165760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2994428165767) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1174744966 + ... + 1174747514.

It is an arithmetic number, because the mean of its divisors is an integer number (9347213700).

Almost surely, 22994428165760 is an apocalyptic number.

2994428165760 is a gapful number since it is divisible by the number (20) 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 2994428165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982216768000).

2994428165760 is an abundant number, since it is smaller than the sum of its proper divisors (8970005370240).

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

2994428165760 is a wasteful number, since it uses less digits than its factorization.

2994428165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2994428165760 in words is "two trillion, nine hundred ninety-four billion, four hundred twenty-eight million, one hundred sixty-five thousand, seven hundred sixty".