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6714288064 = 26113232149
BaseRepresentation
bin1100100000011001…
…11110011111000000
3122022221010011200201
412100030332133000
5102222324204224
63030130254544
7325246335601
oct62014763700
918287104621
106714288064
11293604a000
121374727454
1383006b723
14479a25da8
152946cda44
hex19033e7c0

6714288064 has 168 divisors, whose sum is σ = 15422727600. Its totient is φ = 2899663360.

The previous prime is 6714287941. The next prime is 6714288101. The reversal of 6714288064 is 4608824176.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45062262 + ... + 45062410.

It is an arithmetic number, because the mean of its divisors is an integer number (91801950).

Almost surely, 26714288064 is an apocalyptic number.

6714288064 is a gapful number since it is divisible by the number (64) 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 6714288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711363800).

6714288064 is an abundant number, since it is smaller than the sum of its proper divisors (8708439536).

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

6714288064 is a wasteful number, since it uses less digits than its factorization.

6714288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 6714288064 is about 81940.7594790285. The cubic root of 6714288064 is about 1886.5427745743.

The spelling of 6714288064 in words is "six billion, seven hundred fourteen million, two hundred eighty-eight thousand, sixty-four".