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21843995768 = 2372373174751
BaseRepresentation
bin10100010110000000…
…001110110001111000
32002101100022221220022
4110112000032301320
5324214030331033
614011320350012
71402212620600
oct242600166170
962340287808
1021843995768
11929a403371
124297615308
1320a17301aa
1410b3171c00
1587cab5098
hex51600ec78

21843995768 has 96 divisors (see below), whose sum is σ = 49096808640. Its totient is φ = 9078048000.

The previous prime is 21843995741. The next prime is 21843995819. The reversal of 21843995768 is 86759934812.

It is a super-2 number, since 2×218439957682 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21843995768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4595393 + ... + 4600143.

It is an arithmetic number, because the mean of its divisors is an integer number (511425090).

Almost surely, 221843995768 is an apocalyptic number.

21843995768 is a gapful number since it is divisible by the number (28) 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 21843995768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24548404320).

21843995768 is an abundant number, since it is smaller than the sum of its proper divisors (27252812872).

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

21843995768 is a wasteful number, since it uses less digits than its factorization.

21843995768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5114 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 62.

The spelling of 21843995768 in words is "twenty-one billion, eight hundred forty-three million, nine hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 317 392 518 634 1036 1268 1813 2072 2219 2536 3626 4438 4751 7252 8876 9502 11729 14504 15533 17752 19004 23458 31066 33257 38008 46916 62132 66514 82103 93832 124264 133028 164206 175787 232799 266056 328412 351574 465598 574721 656824 703148 931196 1149442 1230509 1406296 1506067 1862392 2298884 2461018 3012134 4597768 4922036 6024268 8613563 9844072 10542469 12048536 17227126 21084938 34454252 42169876 55724479 68908504 73797283 84339752 111448958 147594566 222897916 295189132 390071353 445795832 590378264 780142706 1560285412 2730499471 3120570824 5460998942 10921997884 21843995768