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21841981236 = 22334311094241
BaseRepresentation
bin10100010101111000…
…100010111100110100
32002101012112121111000
4110111320202330310
5324213021344421
614011205243300
71402156530405
oct242570427464
962335477430
1021841981236
119299257869
124296a03530
1320a11a626a
1410b2ba99ac
1587c818226
hex515e22f34

21841981236 has 96 divisors (see below), whose sum is σ = 58010198400. Its totient is φ = 7103255040.

The previous prime is 21841981201. The next prime is 21841981237. The reversal of 21841981236 is 63218914812.

21841981236 is a `hidden beast` number, since 218 + 419 + 8 + 12 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21841981191 and 21841981200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21841981237) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5148076 + ... + 5152316.

It is an arithmetic number, because the mean of its divisors is an integer number (604272900).

Almost surely, 221841981236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21841981236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29005099200).

21841981236 is an abundant number, since it is smaller than the sum of its proper divisors (36168217164).

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

21841981236 is a wasteful number, since it uses less digits than its factorization.

21841981236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5398 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 21841981236 in words is "twenty-one billion, eight hundred forty-one million, nine hundred eighty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1109 1161 1548 2218 2322 3327 4241 4436 4644 6654 8482 9981 12723 13308 16964 19962 25446 29943 38169 39924 47687 50892 59886 76338 95374 114507 119772 143061 152676 182363 190748 229014 286122 364726 429183 458028 547089 572244 729452 858366 1094178 1287549 1641267 1716732 2188356 2575098 3282534 4703269 4923801 5150196 6565068 9406538 9847602 14109807 18813076 19695204 28219614 42329421 56439228 84658842 126988263 169317684 202240567 253976526 404481134 507953052 606721701 808962268 1213443402 1820165103 2426886804 3640330206 5460495309 7280660412 10920990618 21841981236