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21189864300 = 22352117398689
BaseRepresentation
bin10011101111000000…
…111010101101101100
32000200202110122012220
4103233000322231230
5321344101124200
613422352155340
71350050606013
oct235700725554
960622418186
1021189864300
118a94142750
124134538b50
131cc9060857
141050337a7a
158404534a0
hex4ef03ab6c

21189864300 has 144 divisors (see below), whose sum is σ = 66981129600. Its totient is φ = 5129395200.

The previous prime is 21189864287. The next prime is 21189864301. The reversal of 21189864300 is 346898112.

It is not an unprimeable number, because it can be changed into a prime (21189864301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2434356 + ... + 2443044.

Almost surely, 221189864300 is an apocalyptic number.

21189864300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21189864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33490564800).

21189864300 is an abundant number, since it is smaller than the sum of its proper divisors (45791265300).

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

21189864300 is a wasteful number, since it uses less digits than its factorization.

21189864300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 21189864300 in words is "twenty-one billion, one hundred eighty-nine million, eight hundred sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 739 825 1100 1478 1650 2217 2956 3300 3695 4434 7390 8129 8689 8868 11085 14780 16258 17378 18475 22170 24387 26067 32516 34756 36950 40645 43445 44340 48774 52134 55425 73900 81290 86890 95579 97548 104268 110850 121935 130335 162580 173780 191158 203225 217225 221700 243870 260670 286737 382316 406450 434450 477895 487740 521340 573474 609675 651675 812900 868900 955790 1146948 1219350 1303350 1433685 1911580 2389475 2438700 2606700 2867370 4778950 5734740 6421171 7168425 9557900 12842342 14336850 19263513 25684684 28673700 32105855 38527026 64211710 70632881 77054052 96317565 128423420 141265762 160529275 192635130 211898643 282531524 321058550 353164405 385270260 423797286 481587825 642117100 706328810 847594572 963175650 1059493215 1412657620 1765822025 1926351300 2118986430 3531644050 4237972860 5297466075 7063288100 10594932150 21189864300