Search a number
-
+
21368282544 = 2433731122721
BaseRepresentation
bin10011111001101001…
…100001110110110000
32001011012012020001000
4103321221201312300
5322230240020134
613452204242000
71354345255560
oct237151416660
961135166030
1021368282544
119075924a44
124184240300
132026ccc78b
141069cdcda0
15850e47e99
hex4f9a61db0

21368282544 has 160 divisors (see below), whose sum is σ = 70325498880. Its totient is φ = 6085324800.

The previous prime is 21368282539. The next prime is 21368282561. The reversal of 21368282544 is 44528286312.

21368282544 is a `hidden beast` number, since 2 + 1 + 368 + 282 + 5 + 4 + 4 = 666.

It is a super-2 number, since 2×213682825442 (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 21368282544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929104 + ... + 951824.

It is an arithmetic number, because the mean of its divisors is an integer number (439534368).

Almost surely, 221368282544 is an apocalyptic number.

21368282544 is a gapful number since it is divisible by the number (24) 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 21368282544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35162749440).

21368282544 is an abundant number, since it is smaller than the sum of its proper divisors (48957216336).

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

21368282544 is a wasteful number, since it uses less digits than its factorization.

21368282544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23056 (or 23044 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 21368282544 in words is "twenty-one billion, three hundred sixty-eight million, two hundred eighty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 311 336 378 432 504 622 756 933 1008 1244 1512 1866 2177 2488 2799 3024 3732 4354 4976 5598 6531 7464 8397 8708 11196 13062 14928 16794 17416 19593 22392 22721 26124 33588 34832 39186 44784 45442 52248 58779 67176 68163 78372 90884 104496 117558 134352 136326 156744 159047 181768 204489 235116 272652 313488 318094 363536 408978 470232 477141 545304 613467 636188 817956 940464 954282 1090608 1226934 1272376 1431423 1635912 1908564 2453868 2544752 2862846 3271824 3817128 4294269 4907736 5725692 7066231 7634256 8588538 9815472 11451384 14132462 17177076 21198693 22902768 28264924 34354152 42397386 49463617 56529848 63596079 68708304 84794772 98927234 113059696 127192158 148390851 169589544 190788237 197854468 254384316 296781702 339179088 381576474 395708936 445172553 508768632 593563404 763152948 791417872 890345106 1017537264 1187126808 1335517659 1526305896 1780690212 2374253616 2671035318 3052611792 3561380424 5342070636 7122760848 10684141272 21368282544