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21142126161684 = 22331117796402493
BaseRepresentation
bin1001100111010100010001…
…11010110110111100010100
32202212011112010100000102000
410303222020322312330110
510232343033244133214
6112544320401315300
74311316411145223
oct463521072667424
982764463300360
1021142126161684
116811364053890
12245559b335b30
13ba490378c2a8
145313da42ccba
15269e4dd02809
hex133a88eb6f14

21142126161684 has 48 divisors (see below), whose sum is σ = 59795912379840. Its totient is φ = 6406704897120.

The previous prime is 21142126161619. The next prime is 21142126161707. The reversal of 21142126161684 is 48616162124112.

21142126161684 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 2 + 1 + 26 + 1 + 616 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8898200059 + ... + 8898202434.

It is an arithmetic number, because the mean of its divisors is an integer number (1245748174580).

Almost surely, 221142126161684 is an apocalyptic number.

It is an amenable number.

21142126161684 is an abundant number, since it is smaller than the sum of its proper divisors (38653786218156).

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

21142126161684 is a wasteful number, since it uses less digits than its factorization.

21142126161684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17796402517 (or 17796402509 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

Adding to 21142126161684 its reverse (48616162124112), we get a palindrome (69758288285796).

The spelling of 21142126161684 in words is "twenty-one trillion, one hundred forty-two billion, one hundred twenty-six million, one hundred sixty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 17796402493 35592804986 53389207479 71185609972 106778414958 160167622437 195760427423 213556829916 320335244874 391520854846 480502867311 587281282269 640670489748 783041709692 961005734622 1174562564538 1761843846807 1922011469244 2349125129076 3523687693614 5285531540421 7047375387228 10571063080842 21142126161684