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16283060640 = 25365731137
BaseRepresentation
bin11110010101000101…
…11100100110100000
31120000210110012000000
433022202330212200
5231321430420030
611251430300000
71114336506000
oct171242744640
946023405000
1016283060640
1169a63aa510
1231a51b7600
1316c6602a32
14b067b6000
156547aa860
hex3ca8bc9a0

16283060640 has 1344 divisors, whose sum is σ = 75359289600. Its totient is φ = 3292047360.

The previous prime is 16283060617. The next prime is 16283060671. The reversal of 16283060640 is 4606038261.

16283060640 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 3 + 0 + 6 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16283060595 and 16283060604.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 440082702 + ... + 440082738.

It is an arithmetic number, because the mean of its divisors is an integer number (56070900).

Almost surely, 216283060640 is an apocalyptic number.

16283060640 is a gapful number since it is divisible by the number (10) 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 16283060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37679644800).

16283060640 is an abundant number, since it is smaller than the sum of its proper divisors (59076228960).

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

16283060640 is an equidigital number, since it uses as much as digits as its factorization.

16283060640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16283060640 in words is "sixteen billion, two hundred eighty-three million, sixty thousand, six hundred forty".