Search a number
-
+
16441947648 = 2936722931
BaseRepresentation
bin11110101000000010…
…00011011000000000
31120102212102111000000
433110001003120000
5232133114311043
611315304000000
71121306151300
oct172401033000
946385374000
1016441947648
116a78061695
12322a460000
1317204c3a09
14b1d935600
156636e32d3
hex3d4043600

16441947648 has 840 divisors, whose sum is σ = 61184566080. Its totient is φ = 4389396480.

The previous prime is 16441947581. The next prime is 16441947659. The reversal of 16441947648 is 84674914461.

16441947648 is a `hidden beast` number, since 1 + 6 + 441 + 94 + 76 + 48 = 666.

It is a super-3 number, since 3×164419476483 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (4644864) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 16441947594 and 16441947603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 530385393 + ... + 530385423.

Almost surely, 216441947648 is an apocalyptic number.

16441947648 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 16441947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30592283040).

16441947648 is an abundant number, since it is smaller than the sum of its proper divisors (44742618432).

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

16441947648 is an frugal number, since it uses more digits than its factorization.

16441947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 16441947648 in words is "sixteen billion, four hundred forty-one million, nine hundred forty-seven thousand, six hundred forty-eight".