Search a number
-
+
21646133316 = 22324712793223
BaseRepresentation
bin10100001010001101…
…011100100001000100
32001212120000111122100
4110022031130201010
5323312402231231
613535531432100
71364261045253
oct241215344104
961776014570
1021646133316
1191a8750385
1242412b5630
13206c743b12
141094b8879a
1586a52e1e6
hex50a35c844

21646133316 has 36 divisors (see below), whose sum is σ = 55880802432. Its totient is φ = 7061858544.

The previous prime is 21646133297. The next prime is 21646133381. The reversal of 21646133316 is 61333164612.

21646133316 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 613 + 3 + 31 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6394920 + ... + 6398303.

It is an arithmetic number, because the mean of its divisors is an integer number (1552244512).

Almost surely, 221646133316 is an apocalyptic number.

It is an amenable number.

21646133316 is an abundant number, since it is smaller than the sum of its proper divisors (34234669116).

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

21646133316 is a wasteful number, since it uses less digits than its factorization.

21646133316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793280 (or 12793275 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

Adding to 21646133316 its reverse (61333164612), we get a palindrome (82979297928).

The spelling of 21646133316 in words is "twenty-one billion, six hundred forty-six million, one hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 12793223 25586446 38379669 51172892 76759338 115139007 153518676 230278014 460556028 601281481 1202562962 1803844443 2405125924 3607688886 5411533329 7215377772 10823066658 21646133316