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16463397888 = 210327236457
BaseRepresentation
bin11110101010100101…
…11000010000000000
31120111100210021012100
433111102320100000
5232204112213023
611321351430400
71121656400400
oct172522702000
946440707170
1016463397888
116a89182563
123235685400
131724a94272
14b2271a800
1566552dc43
hex3d54b8400

16463397888 has 198 divisors, whose sum is σ = 55300478766. Its totient is φ = 4703698944.

The previous prime is 16463397887. The next prime is 16463397901. The reversal of 16463397888 is 88879336461.

16463397888 is a `hidden beast` number, since 1 + 6 + 463 + 3 + 97 + 8 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15288827904 + 1174569984 = 123648^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16463397887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 433356 + ... + 469812.

Almost surely, 216463397888 is an apocalyptic number.

16463397888 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 16463397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27650239383).

16463397888 is an abundant number, since it is smaller than the sum of its proper divisors (38837080878).

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

16463397888 is a wasteful number, since it uses less digits than its factorization.

16463397888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36497 (or 36469 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 16463397888 in words is "sixteen billion, four hundred sixty-three million, three hundred ninety-seven thousand, eight hundred eighty-eight".