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6681603960 = 23325234091973
BaseRepresentation
bin1100011100100000…
…10010111101111000
3122020122121122112100
412032100102331320
5102140442311320
63023001543400
7324401460633
oct61620227570
918218548470
106681603960
112919655a49
1213657a4b60
13826366b15
14475558c1a
152918c4790
hex18e412f78

6681603960 has 192 divisors, whose sum is σ = 22726267200. Its totient is φ = 1699264512.

The previous prime is 6681603949. The next prime is 6681604001. The reversal of 6681603960 is 693061866.

It is a super-3 number, since 3×66816039603 (a number of 30 digits) contains 333 as substring.

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, 3385534 + ... + 3387506.

It is an arithmetic number, because the mean of its divisors is an integer number (118365975).

Almost surely, 26681603960 is an apocalyptic number.

6681603960 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 6681603960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11363133600).

6681603960 is an abundant number, since it is smaller than the sum of its proper divisors (16044663240).

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

6681603960 is a wasteful number, since it uses less digits than its factorization.

6681603960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6681603960 is about 81741.0787792772. The cubic root of 6681603960 is about 1883.4766623543.

The spelling of 6681603960 in words is "six billion, six hundred eighty-one million, six hundred three thousand, nine hundred sixty".