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21144592846 = 2132536779223
BaseRepresentation
bin10011101100010100…
…001110000111001110
32000120121021121110101
4103230110032013032
5321301003432341
613414054001314
71345661034166
oct235424160716
960517247411
1021144592846
118a70631623
12412134623a
131cbc86c800
1410483115a6
1583b4ae831
hex4ec50e1ce

21144592846 has 96 divisors (see below), whose sum is σ = 36125429760. Its totient is φ = 9270847872.

The previous prime is 21144592841. The next prime is 21144592853. The reversal of 21144592846 is 64829544112.

It is a super-3 number, since 3×211445928463 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21144592796 and 21144592805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144592841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 94818691 + ... + 94818913.

It is an arithmetic number, because the mean of its divisors is an integer number (376306560).

Almost surely, 221144592846 is an apocalyptic number.

21144592846 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21144592846 is a deficient number, since it is larger than the sum of its proper divisors (14980836914).

21144592846 is a wasteful number, since it uses less digits than its factorization.

21144592846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The spelling of 21144592846 in words is "twenty-one billion, one hundred forty-four million, five hundred ninety-two thousand, eight hundred forty-six".

Divisors: 1 2 13 26 53 67 79 106 134 158 169 223 338 446 689 871 1027 1378 1742 2054 2899 3551 4187 5293 5798 7102 8374 8957 10586 11323 11819 13351 14941 17617 17914 22646 23638 26702 29882 35234 37687 46163 54431 68809 75374 92326 108862 137618 153647 194233 229021 280529 307294 388466 458042 561058 600119 707603 791873 894517 933701 1180339 1200238 1415206 1583746 1789034 1867402 1997411 2360678 2525029 2977273 3646877 3994822 5050058 5954546 7293754 10294349 12138113 15344407 20588698 24276226 30688814 47409401 62557967 94818802 125115934 133826537 157795469 199477291 267653074 315590938 398954582 813253571 1626507142 10572296423 21144592846