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21202994297352 = 23372112572327407
BaseRepresentation
bin1001101001000101101001…
…11100010111101000001000
32210001222122010110200102010
410310202310330113220020
510234342213020003402
6113032304320535520
74315602651566550
oct464426474275010
983058563420363
1021202994297352
11683515957a03a
122465347a815a0
13baa58403740a
14534332306160
1526b81288aa6c
hex1348b4f17a08

21202994297352 has 128 divisors (see below), whose sum is σ = 61103955824640. Its totient is φ = 6005824634880.

The previous prime is 21202994297291. The next prime is 21202994297393. The reversal of 21202994297352 is 25379249920212.

It is a junction number, because it is equal to n+sod(n) for n = 21202994297292 and 21202994297301.

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, 7946433 + ... + 10273839.

It is an arithmetic number, because the mean of its divisors is an integer number (477374654880).

Almost surely, 221202994297352 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 21202994297352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551977912320).

21202994297352 is an abundant number, since it is smaller than the sum of its proper divisors (39900961527288).

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

21202994297352 is a wasteful number, since it uses less digits than its factorization.

21202994297352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327891 (or 2327887 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 21202994297352 in words is "twenty-one trillion, two hundred two billion, nine hundred ninety-four million, two hundred ninety-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 257 422 514 633 771 844 1028 1266 1477 1542 1688 1799 2056 2532 2954 3084 3598 4431 5064 5397 5908 6168 7196 8862 10794 11816 14392 17724 21588 35448 43176 54227 108454 162681 216908 325362 379589 433816 650724 759178 1138767 1301448 1518356 2277534 2327407 3036712 4555068 4654814 6982221 9110136 9309628 13964442 16291849 18619256 27928884 32583698 48875547 55857768 65167396 97751094 130334792 195502188 391004376 491082877 598143599 982165754 1196287198 1473248631 1794430797 1964331508 2392574396 2946497262 3437580139 3588861594 3928663016 4187005193 4785148792 5892994524 6875160278 7177723188 8374010386 10312740417 11785989048 12561015579 13750320556 14355446376 16748020772 20625480834 25122031158 27500641112 33496041544 41250961668 50244062316 82501923336 100488124632 126208299389 252416598778 378624898167 504833197556 757249796334 883458095723 1009666395112 1514499592668 1766916191446 2650374287169 3028999185336 3533832382892 5300748574338 7067664765784 10601497148676 21202994297352