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21934389168 = 243510915171
BaseRepresentation
bin10100011011011001…
…000011011110110000
32002121122102102100000
4110123121003132300
5324410200423133
614024310030000
71404361142316
oct243331033660
962548372300
1021934389168
11933643325a
124301948300
1320b738c203
1410c11820b6
158859bd413
hex51b6437b0

21934389168 has 120 divisors (see below), whose sum is σ = 63730046016. Its totient is φ = 7303348800.

The previous prime is 21934389151. The next prime is 21934389187. The reversal of 21934389168 is 86198343912.

21934389168 is a `hidden beast` number, since 2 + 193 + 438 + 9 + 16 + 8 = 666.

It is a super-2 number, since 2×219343891682 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4239223 + ... + 4244393.

Almost surely, 221934389168 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 21934389168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31865023008).

21934389168 is an abundant number, since it is smaller than the sum of its proper divisors (41795656848).

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

21934389168 is a wasteful number, since it uses less digits than its factorization.

21934389168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6285 (or 6267 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 21934389168 in words is "twenty-one billion, nine hundred thirty-four million, three hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1091 1296 1944 2182 3273 3888 4364 5171 6546 8728 9819 10342 13092 15513 17456 19638 20684 26184 29457 31026 39276 41368 46539 52368 58914 62052 78552 82736 88371 93078 117828 124104 139617 157104 176742 186156 235656 248208 265113 279234 353484 372312 418851 471312 530226 558468 706968 744624 837702 1060452 1116936 1256553 1413936 1675404 2120904 2233872 2513106 3350808 4241808 5026212 5641561 6701616 10052424 11283122 16924683 20104848 22566244 33849366 45132488 50774049 67698732 90264976 101548098 135397464 152322147 203096196 270794928 304644294 406192392 456966441 609288588 812384784 913932882 1218577176 1370899323 1827865764 2437154352 2741798646 3655731528 5483597292 7311463056 10967194584 21934389168