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21749034384 = 2433711653831
BaseRepresentation
bin10100010000010101…
…111110110110010000
32002010201122102101000
4110100111332312100
5324020223100014
613554045142000
71366650512340
oct242025766620
962121572330
1021749034384
119250843490
12426b85a900
132087b61c1c
1410a46d2d20
158745a8509
hex51057ed90

21749034384 has 160 divisors (see below), whose sum is σ = 77832161280. Its totient is φ = 5649091200.

The previous prime is 21749034311. The next prime is 21749034409. The reversal of 21749034384 is 48343094712.

21749034384 is a `hidden beast` number, since 217 + 4 + 90 + 343 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293652 + ... + 360179.

It is an arithmetic number, because the mean of its divisors is an integer number (486451008).

Almost surely, 221749034384 is an apocalyptic number.

21749034384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21749034384 is an abundant number, since it is smaller than the sum of its proper divisors (56083126896).

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

21749034384 is a wasteful number, since it uses less digits than its factorization.

21749034384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653866 (or 653854 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 21749034384 in words is "twenty-one billion, seven hundred forty-nine million, thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 653831 1307662 1961493 2615324 3922986 4576817 5230648 5884479 7192141 7845972 9153634 10461296 11768958 13730451 14384282 15691944 17653437 18307268 21576423 23537916 27460902 28768564 31383888 35306874 36614536 41191353 43152846 47075832 50344987 54921804 57537128 64729269 70613748 73229072 82382706 86305692 94151664 100689974 109843608 115074256 123574059 129458538 141227496 151034961 164765412 172611384 194187807 201379948 219687216 247148118 258917076 282454992 302069922 329530824 345222768 388375614 402759896 453104883 494296236 517834152 604139844 659061648 776751228 805519792 906209766 988592472 1035668304 1208279688 1359314649 1553502456 1812419532 1977184944 2416559376 2718629298 3107004912 3624839064 5437258596 7249678128 10874517192 21749034384