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16022043648 = 21036132127
BaseRepresentation
bin11101110101111110…
…01111110000000000
31112100121022011000000
432322333033300000
5230303120344043
611205504000000
71105020060342
oct167277176000
945317264000
1016022043648
116882031596
123131900000
131684503900
14abdc6d292
1563b8ec2d3
hex3bafcfc00

16022043648 has 462 divisors, whose sum is σ = 52408178304. Its totient is φ = 4891041792.

The previous prime is 16022043629. The next prime is 16022043649. The reversal of 16022043648 is 84634022061.

16022043648 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 2 + 0 + 4 + 3 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16022043649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 126157761 + ... + 126157887.

Almost surely, 216022043648 is an apocalyptic number.

16022043648 is a gapful number since it is divisible by the number (18) 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 16022043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26204089152).

16022043648 is an abundant number, since it is smaller than the sum of its proper divisors (36386134656).

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

16022043648 is an equidigital number, since it uses as much as digits as its factorization.

16022043648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16022043648 in words is "sixteen billion, twenty-two million, forty-three thousand, six hundred forty-eight".