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21802884964 = 22725321992
BaseRepresentation
bin10100010011100011…
…011001111101100100
32002021110222022110221
4110103203121331210
5324123014304324
614003251254124
71401203315200
oct242343317544
962243868427
1021802884964
1192791841a3
1242858aa344
132096067b83
1410ab90db00
158791940e4
hex5138d9f64

21802884964 has 81 divisors (see below), whose sum is σ = 45466154937. Its totient is φ = 9121720608.

The previous prime is 21802884953. The next prime is 21802885021. The reversal of 21802884964 is 46948820812.

The square root of 21802884964 is 147658.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15717636900 + 6085248064 = 125370^2 + 78008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109562137 + ... + 109562335.

Almost surely, 221802884964 is an apocalyptic number.

21802884964 is the 147658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21802884964

21802884964 is an abundant number, since it is smaller than the sum of its proper divisors (23663269973).

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

21802884964 is an equidigital number, since it uses as much as digits as its factorization.

21802884964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 21802884964 in words is "twenty-one billion, eight hundred two million, eight hundred eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 199 212 371 398 742 796 1393 1484 2597 2786 2809 5194 5572 5618 9751 10388 10547 11236 19502 19663 21094 39004 39326 39601 42188 73829 78652 79202 137641 147658 158404 275282 277207 295316 516803 550564 554414 558991 1033606 1108828 1117982 1940449 2067212 2098853 2235964 3880898 3912937 4197706 7761796 7825874 8395412 14691971 15651748 27390559 29383942 54781118 58767884 102843797 109562236 111239209 205687594 222478418 411375188 444956836 778674463 1557348926 3114697852 5450721241 10901442482 21802884964