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21987384822 = 23313307102023
BaseRepresentation
bin10100011110100011…
…001101110111110110
32002202100010212201000
4110132203031313312
5330012232303242
614033441544130
71405603454514
oct243643156766
962670125630
1021987384822
11936333a717
124317645046
1320c5355ca0
1410c82194b4
1588a48aa4c
hex51e8cddf6

21987384822 has 64 divisors (see below), whose sum is σ = 52791298560. Its totient is φ = 6743246112.

The previous prime is 21987384781. The next prime is 21987384823. The reversal of 21987384822 is 22848378912.

21987384822 is a `hidden beast` number, since 2 + 1 + 98 + 73 + 8 + 482 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21987384823) 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, 164503 + ... + 266525.

It is an arithmetic number, because the mean of its divisors is an integer number (824864040).

Almost surely, 221987384822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21987384822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26395649280).

21987384822 is an abundant number, since it is smaller than the sum of its proper divisors (30803913738).

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

21987384822 is a wasteful number, since it uses less digits than its factorization.

21987384822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102354 (or 102348 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 21987384822 in words is "twenty-one billion, nine hundred eighty-seven million, three hundred eighty-four thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 307 351 614 702 921 1842 2763 3991 5526 7982 8289 11973 16578 23946 35919 71838 102023 107757 204046 215514 306069 612138 918207 1326299 1836414 2652598 2754621 3978897 5509242 7957794 11936691 23873382 31321061 35810073 62642122 71620146 93963183 187926366 281889549 407173793 563779098 814347586 845668647 1221521379 1691337294 2443042758 3664564137 7329128274 10993692411 21987384822