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21678198288 = 24310713730809
BaseRepresentation
bin10100001100000111…
…110000111000010000
32001221210100120111220
4110030013300320100
5323344104321123
613543035005040
71365130434165
oct241407607020
961853316456
1021678198288
11921486125a
12424bb99780
13207628c986
14109913406c
1586d264ce3
hex50c1f0e10

21678198288 has 80 divisors (see below), whose sum is σ = 56939837760. Its totient is φ = 7106050048.

The previous prime is 21678198281. The next prime is 21678198301. The reversal of 21678198288 is 88289187612.

It is a super-2 number, since 2×216781982882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21678198281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688228 + ... + 719036.

It is an arithmetic number, because the mean of its divisors is an integer number (711747972).

Almost surely, 221678198288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21678198288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28469918880).

21678198288 is an abundant number, since it is smaller than the sum of its proper divisors (35261639472).

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

21678198288 is a wasteful number, since it uses less digits than its factorization.

21678198288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31064 (or 31058 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 60.

The spelling of 21678198288 in words is "twenty-one billion, six hundred seventy-eight million, one hundred ninety-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 137 214 274 321 411 428 548 642 822 856 1096 1284 1644 1712 2192 2568 3288 5136 6576 14659 29318 30809 43977 58636 61618 87954 92427 117272 123236 175908 184854 234544 246472 351816 369708 492944 703632 739416 1478832 3296563 4220833 6593126 8441666 9889689 12662499 13186252 16883332 19779378 25324998 26372504 33766664 39558756 50649996 52745008 67533328 79117512 101299992 158235024 202599984 451629131 903258262 1354887393 1806516524 2709774786 3613033048 5419549572 7226066096 10839099144 21678198288