Search a number
-
+
2913159168 = 21134171033
BaseRepresentation
bin1010110110100011…
…0100100000000000
321112000121211010000
42231220310200000
521431232043133
61201023040000
7132122305263
oct25550644000
97460554100
102913159168
111265447667
12693740000
133756ca52a
141d8c7ccda
15120b3d413
hexada34800

2913159168 has 240 divisors, whose sum is σ = 9222152940. Its totient is φ = 913047552.

The previous prime is 2913159167. The next prime is 2913159169. The reversal of 2913159168 is 8619513192.

2913159168 is a `hidden beast` number, since 29 + 1 + 31 + 591 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2913159167) and next prime (2913159169).

It can be written as a sum of positive squares in 2 ways, for example, as 2368963584 + 544195584 = 48672^2 + 23328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2913159167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2819580 + ... + 2820612.

Almost surely, 22913159168 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 2913159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611076470).

2913159168 is an abundant number, since it is smaller than the sum of its proper divisors (6308993772).

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

2913159168 is a wasteful number, since it uses less digits than its factorization.

2913159168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1055 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 2913159168 is about 53973.6895903921. The cubic root of 2913159168 is about 1428.1968516140.

The spelling of 2913159168 in words is "two billion, nine hundred thirteen million, one hundred fifty-nine thousand, one hundred sixty-eight".