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21682241316 = 22322164727823
BaseRepresentation
bin10100001100010111…
…001011111100100100
32001222001221222111200
4110030113023330210
5323401123210231
613543301402500
71365210003351
oct241427137444
961861858450
1021682241316
1192170728aa
124251409430
132077076cb8
1410998a7628
1586d7b2be6
hex50c5cbf24

21682241316 has 36 divisors (see below), whose sum is σ = 54812389632. Its totient is φ = 7226820144.

The previous prime is 21682241299. The next prime is 21682241327. The reversal of 21682241316 is 61314228612.

It is a happy number.

21682241316 is a `hidden beast` number, since 21 + 6 + 82 + 241 + 316 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765381 + ... + 793203.

Almost surely, 221682241316 is an apocalyptic number.

It is an amenable number.

21682241316 is an abundant number, since it is smaller than the sum of its proper divisors (33130148316).

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

21682241316 is a wasteful number, since it uses less digits than its factorization.

21682241316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49480 (or 49475 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 21682241316 its reverse (61314228612), we get a palindrome (82996469928).

The spelling of 21682241316 in words is "twenty-one billion, six hundred eighty-two million, two hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 21647 27823 43294 55646 64941 83469 86588 111292 129882 166938 194823 250407 259764 333876 389646 500814 779292 1001628 602284481 1204568962 1806853443 2409137924 3613706886 5420560329 7227413772 10841120658 21682241316