Search a number
-
+
264854492160 = 21035712111151
BaseRepresentation
bin1111011010101010001…
…1101101010000000000
3221022122011110020120120
43312222203231100000
513314410222222120
6321401130540240
725064225016036
oct3665243552000
9838564406516
10264854492160
11a2362502055
12433b7297680
131bc8b71c91b
14cb6759a556
156d51e8a140
hex3daa8ed400

264854492160 has 352 divisors, whose sum is σ = 863873040384. Its totient is φ = 69242880000.

The previous prime is 264854492141. The next prime is 264854492191. The reversal of 264854492160 is 61294458462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230107585 + ... + 230108735.

Almost surely, 2264854492160 is an apocalyptic number.

264854492160 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 264854492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431936520192).

264854492160 is an abundant number, since it is smaller than the sum of its proper divisors (599018548224).

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

264854492160 is a wasteful number, since it uses less digits than its factorization.

264854492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 264854492160 in words is "two hundred sixty-four billion, eight hundred fifty-four million, four hundred ninety-two thousand, one hundred sixty".