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6678395136 = 28337831663
BaseRepresentation
bin1100011100001000…
…00011100100000000
3122020102120121212000
412032010003210000
5102134132121021
63022405104000
7324332264520
oct61604034400
918212517760
106678395136
112917864126
1213646b8000
138257b23ca
14474d61680
1529148db26
hex18e103900

6678395136 has 288 divisors, whose sum is σ = 22856171520. Its totient is φ = 1883990016.

The previous prime is 6678395117. The next prime is 6678395137. The reversal of 6678395136 is 6315938766.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (6678395137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4015041 + ... + 4016703.

Almost surely, 26678395136 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 6678395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428085760).

6678395136 is an abundant number, since it is smaller than the sum of its proper divisors (16177776384).

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

6678395136 is a wasteful number, since it uses less digits than its factorization.

6678395136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1758 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 6678395136 is about 81721.4484453133. The cubic root of 6678395136 is about 1883.1751023841.

The spelling of 6678395136 in words is "six billion, six hundred seventy-eight million, three hundred ninety-five thousand, one hundred thirty-six".