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21689393712 = 243732945427
BaseRepresentation
bin10100001100110010…
…011110001000110000
32001222120102100202020
4110030302132020300
5323404441044322
613544114551440
71365324543000
oct241462361060
961876370666
1021689393712
119220108578
124253898580
1320786ac69c
14109a80a000
1586e22705c
hex50cc9e230

21689393712 has 160 divisors (see below), whose sum is σ = 67596864000. Its totient is φ = 5983149312.

The previous prime is 21689393711. The next prime is 21689393729. The reversal of 21689393712 is 21739398612.

It is not an unprimeable number, because it can be changed into a prime (21689393711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454743 + ... + 500169.

It is an arithmetic number, because the mean of its divisors is an integer number (422480400).

Almost surely, 221689393712 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 21689393712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33798432000).

21689393712 is an abundant number, since it is smaller than the sum of its proper divisors (45907470288).

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

21689393712 is a wasteful number, since it uses less digits than its factorization.

21689393712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45488 (or 45468 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The spelling of 21689393712 in words is "twenty-one billion, six hundred eighty-nine million, three hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 343 348 392 406 464 588 609 686 696 784 812 1029 1176 1218 1372 1392 1421 1624 2058 2352 2436 2744 2842 3248 4116 4263 4872 5488 5684 8232 8526 9744 9947 11368 16464 17052 19894 22736 29841 34104 39788 45427 59682 68208 79576 90854 119364 136281 159152 181708 238728 272562 317989 363416 477456 545124 635978 726832 953967 1090248 1271956 1317383 1907934 2180496 2225923 2543912 2634766 3815868 3952149 4451846 5087824 5269532 6677769 7631736 7904298 8903692 9221681 10539064 13355538 15263472 15581461 15808596 17807384 18443362 21078128 26711076 27665043 31162922 31617192 35614768 36886724 46744383 53422152 55330086 62325844 63234384 64551767 73773448 93488766 106844304 110660172 124651688 129103534 147546896 186977532 193655301 221320344 249303376 258207068 373955064 387310602 442640688 451862369 516414136 747910128 774621204 903724738 1032828272 1355587107 1549242408 1807449476 2711174214 3098484816 3614898952 5422348428 7229797904 10844696856 21689393712