Search a number
-
+
2941797574656 = 2113497182821
BaseRepresentation
bin101010110011110000110…
…011001010100000000000
3101102020021221010201120000
4222303300303022200000
5341144300134342111
610131235415320000
7422352325542603
oct52636063124000
911366257121500
102941797574656
11a34678047106
123b6182080000
13184544623b75
14a255308833a
15517c9c1ac56
hex2acf0cca800

2941797574656 has 240 divisors, whose sum is σ = 8877563915220. Its totient is φ = 970484613120.

The previous prime is 2941797574591. The next prime is 2941797574663. The reversal of 2941797574656 is 6564757971492.

2941797574656 is a `hidden beast` number, since 2 + 9 + 41 + 7 + 9 + 7 + 574 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2921638118400 + 20159456256 = 1709280^2 + 141984^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15999726 + ... + 16182546.

Almost surely, 22941797574656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2941797574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438781957610).

2941797574656 is an abundant number, since it is smaller than the sum of its proper divisors (5935766340564).

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

2941797574656 is an equidigital number, since it uses as much as digits as its factorization.

2941797574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182952 (or 182923 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 2941797574656 in words is "two trillion, nine hundred forty-one billion, seven hundred ninety-seven million, five hundred seventy-four thousand, six hundred fifty-six".