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21186344368112 = 2471160128613491
BaseRepresentation
bin1001101000100110101001…
…00001111011011111110000
32210000101122202200122022012
410310103110201323133300
510234104113124234422
6113020512223102052
74314443235536030
oct464232441733760
983011582618265
1021186344368112
116829095083840
12246207ba41928
13ba8b2c723491
145335d2d118c0
1526b18acb34e2
hex1344d487b7f0

21186344368112 has 80 divisors (see below), whose sum is σ = 51262558819584. Its totient is φ = 8240685120000.

The previous prime is 21186344368103. The next prime is 21186344368141.

It is a happy number.

21186344368112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211863443681122 (a number of 27 digits) contains 22 as substring.

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, 13566314 + ... + 15047177.

Almost surely, 221186344368112 is an apocalyptic number.

21186344368112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21186344368112 is an abundant number, since it is smaller than the sum of its proper divisors (30076214451472).

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

21186344368112 is a wasteful number, since it uses less digits than its factorization.

21186344368112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28614118 (or 28614112 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The spelling of 21186344368112 in words is "twenty-one trillion, one hundred eighty-six billion, three hundred forty-four million, three hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 601 616 1202 1232 2404 4207 4808 6611 8414 9616 13222 16828 26444 33656 46277 52888 67312 92554 105776 185108 370216 740432 28613491 57226982 114453964 200294437 228907928 314748401 400588874 457815856 629496802 801177748 1258993604 1602355496 2203238807 2517987208 3204710992 4406477614 5035974416 8812955228 17196708091 17625910456 34393416182 35251820912 68786832364 120376956637 137573664728 189163789001 240753913274 275147329456 378327578002 481507826548 756655156004 963015653096 1324146523007 1513310312008 1926031306192 2648293046014 3026620624016 5296586092028 10593172184056 21186344368112