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6683228640 = 25325112914549
BaseRepresentation
bin1100011100101100…
…11111100111100000
3122020202200012011200
412032112133213200
5102141401304030
63023100441200
7324421335414
oct61626374740
918222605150
106683228640
11291a565660
121366249200
138267b547a
1447585cd44
15291ae5d60
hex18e59f9e0

6683228640 has 288 divisors, whose sum is σ = 25739532000. Its totient is φ = 1564200960.

The previous prime is 6683228639. The next prime is 6683228677. The reversal of 6683228640 is 468223866.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452086 + ... + 466634.

It is an arithmetic number, because the mean of its divisors is an integer number (89373375).

Almost surely, 26683228640 is an apocalyptic number.

6683228640 is a gapful number since it is divisible by the number (60) 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 6683228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869766000).

6683228640 is an abundant number, since it is smaller than the sum of its proper divisors (19056303360).

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

6683228640 is a wasteful number, since it uses less digits than its factorization.

6683228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14610 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6683228640 is about 81751.0161404738. The cubic root of 6683228640 is about 1883.6293102760.

The spelling of 6683228640 in words is "six billion, six hundred eighty-three million, two hundred twenty-eight thousand, six hundred forty".