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6243060096 = 27347132509
BaseRepresentation
bin1011101000001110…
…11000100110000000
3121010002102022110000
411310013120212000
5100241210410341
62511254240000
7310465064250
oct56407304600
917102368400
106243060096
1127140544a9
121262956000
1378654b700
144331dd960
1526814a8b6
hex1741d8980

6243060096 has 480 divisors, whose sum is σ = 23037577200. Its totient is φ = 1643286528.

The previous prime is 6243060041. The next prime is 6243060097. The reversal of 6243060096 is 6900603426.

6243060096 is a `hidden beast` number, since 6 + 2 + 43 + 0 + 600 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6243060096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6243060097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12265090 + ... + 12265598.

Almost surely, 26243060096 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 6243060096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518788600).

6243060096 is an abundant number, since it is smaller than the sum of its proper divisors (16794517104).

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

6243060096 is a wasteful number, since it uses less digits than its factorization.

6243060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6243060096 is about 79013.0375064774. The cubic root of 6243060096 is about 1841.3337148194. Note that the first 3 decimals are identical.

The spelling of 6243060096 in words is "six billion, two hundred forty-three million, sixty thousand, ninety-six".