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21226335245505 = 32513375711717439
BaseRepresentation
bin1001101001110001001000…
…01011000001010011000001
32210011012212210120200221100
410310320210023001103001
510240233013310324010
6113051124354245013
74320360242433225
oct464704413012301
983135783520840
1021226335245505
116844046970935
122469980886769
13bac833930640
145355081c6785
1526c22ba972c0
hex134e242c14c1

21226335245505 has 96 divisors (see below), whose sum is σ = 40764661217280. Its totient is φ = 10149646394880.

The previous prime is 21226335245491. The next prime is 21226335245551. The reversal of 21226335245505 is 50554253362212.

21226335245505 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 63 + 35 + 2 + 4 + 550 + 5 = 666.

It is not a de Polignac number, because 21226335245505 - 29 = 21226335244993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 11500576 + ... + 13218014.

It is an arithmetic number, because the mean of its divisors is an integer number (424631887680).

Almost surely, 221226335245505 is an apocalyptic number.

It is an amenable number.

21226335245505 is a deficient number, since it is larger than the sum of its proper divisors (19538325971775).

21226335245505 is a wasteful number, since it uses less digits than its factorization.

21226335245505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718071 (or 1718068 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 21226335245505 in words is "twenty-one trillion, two hundred twenty-six billion, three hundred thirty-five million, two hundred forty-five thousand, five hundred five".

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 185 195 333 481 555 571 585 1443 1665 1713 2405 2855 4329 5139 7215 7423 8565 21127 21645 22269 25695 37115 63381 66807 105635 111345 190143 274651 316905 334035 823953 950715 1373255 1717439 2471859 4119765 5152317 8587195 12359295 15456951 22326707 25761585 63545243 66980121 77284755 111633535 190635729 200940363 317726215 334900605 571907187 826088159 953178645 980657669 1004701815 2478264477 2859535935 2941973007 4130440795 4903288345 7434793431 8825919021 12391322385 12748549697 14709865035 36284333753 37173967155 38245649091 44129595105 63742748485 108853001259 114736947273 181421668765 191228245455 326559003777 471696338789 544265006295 573684736365 1415089016367 1632795018885 2358481693945 4245267049101 7075445081835 21226335245505