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6704714016 = 25327111321789
BaseRepresentation
bin1100011111010000…
…11101000100100000
3122022021002202120100
412033220131010200
5102212401322031
63025145142400
7325102062120
oct61750350440
918267082510
106704714016
1129306aa970
12137148aa00
1382b098a00
14478652c80
1529393bde6
hex18fa1d120

6704714016 has 432 divisors, whose sum is σ = 25754863680. Its totient is φ = 1606625280.

The previous prime is 6704713999. The next prime is 6704714017. The reversal of 6704714016 is 6104174076.

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

It is not an unprimeable number, because it can be changed into a prime (6704714017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3746850 + ... + 3748638.

It is an arithmetic number, because the mean of its divisors is an integer number (59617740).

Almost surely, 26704714016 is an apocalyptic number.

6704714016 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 6704714016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877431840).

6704714016 is an abundant number, since it is smaller than the sum of its proper divisors (19050149664).

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

6704714016 is a wasteful number, since it uses less digits than its factorization.

6704714016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6704714016 is about 81882.3180912705. The cubic root of 6704714016 is about 1885.6456607061.

The spelling of 6704714016 in words is "six billion, seven hundred four million, seven hundred fourteen thousand, sixteen".