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19827664893 = 331721132199
BaseRepresentation
bin10010011101110100…
…100010011111111101
31220011211020201221000
4102131310202133331
5311101340234033
613035251400513
71301230241121
oct223564423775
956154221830
1019827664893
118455222113
123a142b3139
131b3ca887ba
14d61465581
157b0a78a13
hex49dd227fd

19827664893 has 72 divisors (see below), whose sum is σ = 31640648000. Its totient is φ = 12268827648.

The previous prime is 19827664891. The next prime is 19827664933. The reversal of 19827664893 is 39846672891.

19827664893 is a `hidden beast` number, since 1 + 9 + 82 + 76 + 6 + 489 + 3 = 666.

It is not a de Polignac number, because 19827664893 - 21 = 19827664891 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19827664893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19827664891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99636408 + ... + 99636606.

Almost surely, 219827664893 is an apocalyptic number.

It is an amenable number.

19827664893 is a deficient number, since it is larger than the sum of its proper divisors (11812983107).

19827664893 is a wasteful number, since it uses less digits than its factorization.

19827664893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 332 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

It can be divided in two parts, 198276 and 64893, that added together give a square (263169 = 5132).

The spelling of 19827664893 in words is "nineteen billion, eight hundred twenty-seven million, six hundred sixty-four thousand, eight hundred ninety-three".

Divisors: 1 3 9 17 27 51 113 153 199 289 339 459 597 867 1017 1791 1921 2601 3051 3383 5373 5763 7803 10149 12769 17289 22487 30447 32657 38307 51867 57511 67461 91341 97971 114921 172533 202383 217073 293913 344763 382279 517599 607149 651219 881739 1146837 1552797 1953657 2541031 3440511 3690241 5860971 6498743 7623093 10321533 11070723 19496229 22869279 33212169 43197527 58488687 68607837 99636507 129592581 175466061 388777743 734357959 1166333229 2203073877 6609221631 19827664893