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21879904339216 = 2472112151872
BaseRepresentation
bin1001111100110010011111…
…11011010000010100010000
32212110200212011010200012101
410332121033323100110100
510331440021002323331
6114311253404210144
74415525266164100
oct476311773202420
985420764120171
1021879904339216
116a76240656400
12255457b839954
13c2935c8a9321
14558dc8bc3200
1527e22e7b4061
hex13e64fed0510

21879904339216 has 135 divisors (see below), whose sum is σ = 54207674156727. Its totient is φ = 8524076742720.

The previous prime is 21879904339187. The next prime is 21879904339243. The reversal of 21879904339216 is 61293340997812.

The square root of 21879904339216 is 4677596.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1440691975 + ... + 1440707161.

Almost surely, 221879904339216 is an apocalyptic number.

21879904339216 is the 4677596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21879904339216

21879904339216 is an abundant number, since it is smaller than the sum of its proper divisors (32327769817511).

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

21879904339216 is an frugal number, since it uses more digits than its factorization.

21879904339216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30418 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 21879904339216 in words is "twenty-one trillion, eight hundred seventy-nine billion, nine hundred four million, three hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1694 1936 2156 3388 4312 5929 6776 8624 11858 13552 15187 23716 30374 47432 60748 94864 106309 121496 167057 212618 242992 334114 425236 668228 744163 850472 1169399 1336456 1488326 1700944 1837627 2338798 2672912 2976652 3675254 4677596 5953304 7350508 8185793 9355192 11906608 12863389 14701016 16371586 18710384 25726778 29402032 32743172 51453556 65486344 90043723 102907112 130972688 180087446 205814224 230644969 360174892 461289938 720349784 922579876 1440699568 1614514783 1845159752 2537094659 3229029566 3690319504 5074189318 6458059132 10148378636 11301603481 12916118264 17759662613 20296757272 22603206962 25832236528 27908041249 35519325226 40593514544 45206413924 55816082498 71038650452 90412827848 111632164996 124317638291 142077300904 180825655696 195356288743 223264329992 248635276582 284154601808 390712577486 446528659984 497270553164 781425154972 994541106328 1367494021201 1562850309944 1989082212656 2734988042402 3125700619888 5469976084804 10939952169608 21879904339216