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21336014336 = 29721365419
BaseRepresentation
bin10011110111101110…
…011011111000000000
32001001221110211101012
4103313232123320000
5322144004424321
613445052500052
71353504062300
oct236756337000
961057424335
1021336014336
1190596953aa
12417547a628
132020412270
1410658dd600
1584d1c205b
hex4f7b9be00

21336014336 has 120 divisors (see below), whose sum is σ = 53405878680. Its totient is φ = 8440492032.

The previous prime is 21336014309. The next prime is 21336014419. The reversal of 21336014336 is 63341063312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 293435 + ... + 358853.

It is an arithmetic number, because the mean of its divisors is an integer number (445048989).

Almost surely, 221336014336 is an apocalyptic number.

21336014336 is a gapful number since it is divisible by the number (26) 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 21336014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26702939340).

21336014336 is an abundant number, since it is smaller than the sum of its proper divisors (32069864344).

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

21336014336 is an equidigital number, since it uses as much as digits as its factorization.

21336014336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65464 (or 65441 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 21336014336 its reverse (63341063312), we get a palindrome (84677077648).

The spelling of 21336014336 in words is "twenty-one billion, three hundred thirty-six million, fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 10192 11648 12544 20384 23296 25088 40768 46592 65419 81536 130838 163072 261676 326144 457933 523352 850447 915866 1046704 1700894 1831732 2093408 3205531 3401788 3663464 4186816 5953129 6411062 6803576 7326928 8373632 11906258 12822124 13607152 14653856 16747264 23812516 25644248 27214304 29307712 33494528 41671903 47625032 51288496 54428608 58615424 83343806 95250064 102576992 108857216 117230848 166687612 190500128 205153984 217714432 234461696 333375224 381000256 410307968 435428864 666750448 762000512 820615936 1333500896 1524001024 1641231872 2667001792 3048002048 5334003584 10668007168 21336014336