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4243662663424 = 28196125315651
BaseRepresentation
bin111101110000001110000…
…000010110111100000000
3120000200122010222111120221
4331300032000112330000
51024012010120212144
613005302310312424
7615410626322002
oct75601600267400
916020563874527
104243662663424
1113967aaa3a078
1258654a058714
1324a238c4a612
14109574210372
15755c2754d84
hex3dc0e016f00

4243662663424 has 144 divisors (see below), whose sum is σ = 9067935864960. Its totient is φ = 1976071680000.

The previous prime is 4243662663419. The next prime is 4243662663437.

4243662663424 is nontrivially palindromic in base 10.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 750954999 + ... + 750960649.

It is an arithmetic number, because the mean of its divisors is an integer number (62971776840).

Almost surely, 24243662663424 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 4243662663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533967932480).

4243662663424 is an abundant number, since it is smaller than the sum of its proper divisors (4824273201536).

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

4243662663424 is a wasteful number, since it uses less digits than its factorization.

4243662663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8264 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 52.

The spelling of 4243662663424 in words is "four trillion, two hundred forty-three billion, six hundred sixty-two million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 256 304 488 608 976 1159 1216 1952 2318 2432 2531 3904 4636 4864 5062 5651 7808 9272 10124 11302 15616 18544 20248 22604 37088 40496 45208 48089 74176 80992 90416 96178 107369 148352 154391 161984 180832 192356 214738 296704 308782 323968 344711 361664 384712 429476 617564 647936 689422 723328 769424 858952 1235128 1378844 1446656 1538848 1717904 2470256 2757688 2933429 3077696 3435808 4940512 5515376 5866858 6155392 6549509 6871616 9881024 11030752 11733716 12310784 13099018 13743232 14302681 19762048 22061504 23467432 26198036 27486464 28605362 39524096 44123008 46934864 52396072 57210724 88246016 93869728 104792144 114421448 187739456 209584288 228842896 271750939 375478912 419168576 457685792 543501878 750957824 838337152 872463541 915371584 1087003756 1676674304 1744927082 1830743168 2174007512 3489854164 3661486336 4348015024 6979708328 8696030048 13959416656 16576807279 17392060096 27918833312 33153614558 34784120192 55837666624 66307229116 69568240384 111675333248 132614458232 223350666496 265228916464 530457832928 1060915665856 2121831331712 4243662663424