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21821248845 = 32511421104711
BaseRepresentation
bin10100010100101001…
…011101010101001101
32002022202112021222200
4110110221131111031
5324142214430340
614005145032113
71401515361204
oct242451352515
962282467880
1021821248845
119288587260
12428ba85639
132099ac7686
1410b013023b
1587aac0330
hex514a5d54d

21821248845 has 48 divisors (see below), whose sum is σ = 41360402304. Its totient is φ = 10554768000.

The previous prime is 21821248837. The next prime is 21821248847. The reversal of 21821248845 is 54884212812.

It is a happy number.

It is not a de Polignac number, because 21821248845 - 23 = 21821248837 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21821248845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21821248847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 156040 + ... + 260750.

It is an arithmetic number, because the mean of its divisors is an integer number (861675048).

Almost surely, 221821248845 is an apocalyptic number.

It is an amenable number.

21821248845 is a deficient number, since it is larger than the sum of its proper divisors (19539153459).

21821248845 is a wasteful number, since it uses less digits than its factorization.

21821248845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105154 (or 105151 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The spelling of 21821248845 in words is "twenty-one billion, eight hundred twenty-one million, two hundred forty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 421 495 1263 2105 3789 4631 6315 13893 18945 23155 41679 69465 104711 208395 314133 523555 942399 1151821 1570665 3455463 4711995 5759105 10366389 17277315 44083331 51831945 132249993 220416655 396749979 484916641 661249965 1454749923 1983749895 2424583205 4364249769 7273749615 21821248845