Search a number
-
+
99821918471 = 11971792112477
BaseRepresentation
bin101110011110111011…
…0011001100100000111
3100112122202112212022112
41130331312121210013
53113413402342341
6113505122051235
710132452210242
oct1347566314407
9315582485275
1099821918471
1139374963890
121741a1a9b1b
13954a95ab62
144b8d546259
1528e37aeaeb
hex173dd99907

99821918471 has 32 divisors (see below), whose sum is σ = 111203124480. Its totient is φ = 88850764800.

The previous prime is 99821918467. The next prime is 99821918551. The reversal of 99821918471 is 17481912899.

It is a cyclic number.

It is not a de Polignac number, because 99821918471 - 22 = 99821918467 is a prime.

It is a super-3 number, since 3×998219184713 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 99821918471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99821918431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40298285 + ... + 40300761.

It is an arithmetic number, because the mean of its divisors is an integer number (3475097640).

Almost surely, 299821918471 is an apocalyptic number.

99821918471 is a deficient number, since it is larger than the sum of its proper divisors (11381206009).

99821918471 is a wasteful number, since it uses less digits than its factorization.

99821918471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975.

The product of its digits is 2612736, while the sum is 59.

The spelling of 99821918471 in words is "ninety-nine billion, eight hundred twenty-one million, nine hundred eighteen thousand, four hundred seventy-one".

Divisors: 1 11 97 179 211 1067 1969 2321 2477 17363 20467 27247 37769 190993 225137 240269 415459 443383 522647 2642959 3663593 4877213 5749117 40299523 43008151 50696759 93553813 473089661 557664349 1029091943 9074719861 99821918471