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6493044096 = 2732721110457
BaseRepresentation
bin1100000110000001…
…11111110110000000
3121202111210211000200
412003000333312000
5101244204402341
62552144245200
7316621651500
oct60300776600
917674724020
106493044096
112832177150
121312610800
137c6286a36
144584b3a00
15280079db6
hex18303fd80

6493044096 has 288 divisors, whose sum is σ = 23713096680. Its totient is φ = 1686343680.

The previous prime is 6493044079. The next prime is 6493044127. The reversal of 6493044096 is 6904403946.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 615700 + ... + 626156.

Almost surely, 26493044096 is an apocalyptic number.

6493044096 is a gapful number since it is divisible by the number (66) 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 6493044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856548340).

6493044096 is an abundant number, since it is smaller than the sum of its proper divisors (17220052584).

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

6493044096 is a wasteful number, since it uses less digits than its factorization.

6493044096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6493044096 is about 80579.4272503844. The cubic root of 6493044096 is about 1865.5896231232.

The spelling of 6493044096 in words is "six billion, four hundred ninety-three million, forty-four thousand, ninety-six".