Search a number
-
+
16341331644 = 223211371115297
BaseRepresentation
bin11110011100000010…
…01110111010111100
31120011212002122210100
433032001032322330
5231431340103034
611301311241100
71115645012211
oct171601167274
946155078710
1016341331644
116a2628a370
123200819190
1317056c5a11
14b10423b08
1565996b099
hex3ce04eebc

16341331644 has 72 divisors (see below), whose sum is σ = 46280405808. Its totient is φ = 4818078720.

The previous prime is 16341331639. The next prime is 16341331673. The reversal of 16341331644 is 44613314361.

16341331644 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 1 + 3 + 3 + 1 + 644 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 16341331599 and 16341331608.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 542997 + ... + 572300.

It is an arithmetic number, because the mean of its divisors is an integer number (642783414).

Almost surely, 216341331644 is an apocalyptic number.

It is an amenable number.

16341331644 is an abundant number, since it is smaller than the sum of its proper divisors (29939074164).

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

16341331644 is a wasteful number, since it uses less digits than its factorization.

16341331644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115355 (or 1115350 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 16341331644 in words is "sixteen billion, three hundred forty-one million, three hundred thirty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 1115297 2230594 3345891 4461188 6691782 10037673 12268267 13383564 20075346 24536534 36804801 40150692 41265989 49073068 73609602 82531978 110414403 123797967 147219204 165063956 220828806 247595934 371393901 441657612 453925879 495191868 742787802 907851758 1361777637 1485575604 1815703516 2723555274 4085332911 5447110548 8170665822 16341331644