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21468278688 = 2532933123297
BaseRepresentation
bin10011111111100110…
…111110111110100000
32001102011100112221220
4103333212332332200
5322431334404223
613510135415040
71360001233533
oct237746767640
961364315856
1021468278688
11911731358a
1241b1824480
1320419415ac
1410792cca1a
15859aeb6e3
hex4ff9befa0

21468278688 has 96 divisors (see below), whose sum is σ = 58476116160. Its totient is φ = 6888161280.

The previous prime is 21468278687. The next prime is 21468278731. The reversal of 21468278688 is 88687286412.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21468278687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909856 + ... + 933152.

It is an arithmetic number, because the mean of its divisors is an integer number (609126210).

Almost surely, 221468278688 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 21468278688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29238058080).

21468278688 is an abundant number, since it is smaller than the sum of its proper divisors (37007837472).

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

21468278688 is a wasteful number, since it uses less digits than its factorization.

21468278688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23670 (or 23662 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 60.

The spelling of 21468278688 in words is "twenty-one billion, four hundred sixty-eight million, two hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 331 348 464 662 696 928 993 1324 1392 1986 2648 2784 3972 5296 7944 9599 10592 15888 19198 23297 28797 31776 38396 46594 57594 69891 76792 93188 115188 139782 153584 186376 230376 279564 307168 372752 460752 559128 675613 745504 921504 1118256 1351226 2026839 2236512 2702452 4053678 5404904 7711307 8107356 10809808 15422614 16214712 21619616 23133921 30845228 32429424 46267842 61690456 64858848 92535684 123380912 185071368 223627903 246761824 370142736 447255806 670883709 740285472 894511612 1341767418 1789023224 2683534836 3578046448 5367069672 7156092896 10734139344 21468278688