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21933437316 = 22373121671627
BaseRepresentation
bin10100011011010101…
…011011000110000100
32002121120122001122020
4110123111123012010
5324404424443231
614024233403140
71404350066250
oct243325330604
962546561566
1021933437316
1193359430aa
1243015694b0
1320b7117b9b
1410c0db5260
15885881396
hex51b55b184

21933437316 has 144 divisors (see below), whose sum is σ = 60836041728. Its totient is φ = 6024525120.

The previous prime is 21933437299. The next prime is 21933437359. The reversal of 21933437316 is 61373433912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13480095 + ... + 13481721.

It is an arithmetic number, because the mean of its divisors is an integer number (422472512).

Almost surely, 221933437316 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 21933437316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30418020864).

21933437316 is an abundant number, since it is smaller than the sum of its proper divisors (38902604412).

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

21933437316 is a wasteful number, since it uses less digits than its factorization.

21933437316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1837 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The spelling of 21933437316 in words is "twenty-one billion, nine hundred thirty-three million, four hundred thirty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 167 186 217 334 372 434 501 651 668 868 961 1002 1169 1302 1627 1922 2004 2338 2604 2883 3254 3507 3844 4676 4881 5177 5766 6508 6727 7014 9762 10354 11389 11532 13454 14028 15531 19524 20181 20708 22778 26908 31062 34167 36239 40362 45556 50437 62124 68334 72478 80724 100874 108717 136668 144956 151311 160487 201748 217434 271709 302622 320974 353059 434868 481461 543418 605244 641948 706118 815127 962922 1059177 1086836 1123409 1412236 1563547 1630254 1901963 1925844 2118354 2246818 3127094 3260508 3370227 3803926 4236708 4493636 4690641 5705889 6254188 6740454 7607852 8422979 9381282 10944829 11411778 13480908 16845958 18762564 21889658 22823556 25268937 32834487 33691916 43779316 50537874 58960853 65668974 101075748 117921706 131337948 176882559 235843412 261112349 353765118 522224698 707530236 783337047 1044449396 1566674094 1827786443 3133348188 3655572886 5483359329 7311145772 10966718658 21933437316