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21891641520 = 2435753245863
BaseRepresentation
bin10100011000110101…
…111111000010110000
32002111122222121120210
4110120311333002300
5324313230012040
614020141504120
71403331611520
oct243065770260
962448877523
1021891641520
119314296321
1242ab572040
1320ab572b48
1410b9615680
15881d77480
hex518d7f0b0

21891641520 has 160 divisors (see below), whose sum is σ = 79022656512. Its totient is φ = 4909372416.

The previous prime is 21891641479. The next prime is 21891641561. The reversal of 21891641520 is 2514619812.

It is an interprime number because it is at equal distance from previous prime (21891641479) and next prime (21891641561).

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 31 ways as a sum of consecutive naturals, for example, 33892 + ... + 211971.

Almost surely, 221891641520 is an apocalyptic number.

21891641520 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 21891641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39511328256).

21891641520 is an abundant number, since it is smaller than the sum of its proper divisors (57131014992).

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

21891641520 is a wasteful number, since it uses less digits than its factorization.

21891641520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245939 (or 245933 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 21891641520 in words is "twenty-one billion, eight hundred ninety-one million, six hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1680 1855 2120 2226 2544 2968 3180 3710 4240 4452 5565 5936 6360 7420 8904 11130 12720 14840 17808 22260 29680 44520 89040 245863 491726 737589 983452 1229315 1475178 1721041 1966904 2458630 2950356 3442082 3687945 3933808 4917260 5163123 5900712 6884164 7375890 8605205 9834520 10326246 11801424 13030739 13768328 14751780 17210410 19669040 20652492 25815615 26061478 27536656 29503560 34420820 39092217 41304984 51631230 52122956 59007120 65153695 68841640 78184434 82609968 91215173 103262460 104245912 130307390 137683280 156368868 182430346 195461085 206524920 208491824 260614780 273645519 312737736 364860692 390922170 413049840 456075865 521229560 547291038 625475472 729721384 781844340 912151730 1042459120 1094582076 1368227595 1459442768 1563688680 1824303460 2189164152 2736455190 3127377360 3648606920 4378328304 5472910380 7297213840 10945820760 21891641520