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21387799314 = 23271722325537
BaseRepresentation
bin10011111010110011…
…111110101100010010
32001012112220210000100
4103322303332230102
5322300234034224
613454142433230
71355003203020
oct237263765422
961175823010
1021387799314
119085945202
12418a892816
13202b073c6b
14106c73d710
15852a00ac9
hex4facfeb12

21387799314 has 144 divisors (see below), whose sum is σ = 58707163008. Its totient is φ = 5501067264.

The previous prime is 21387799271. The next prime is 21387799319. The reversal of 21387799314 is 41399778312.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21387799319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 824754 + ... + 850290.

It is an arithmetic number, because the mean of its divisors is an integer number (407688632).

Almost surely, 221387799314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21387799314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29353581504).

21387799314 is an abundant number, since it is smaller than the sum of its proper divisors (37319363694).

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

21387799314 is a wasteful number, since it uses less digits than its factorization.

21387799314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25609 (or 25589 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 21387799314 in words is "twenty-one billion, three hundred eighty-seven million, seven hundred ninety-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 289 306 322 357 391 414 483 578 714 782 867 966 1071 1173 1449 1734 2023 2142 2346 2601 2737 2898 3519 4046 5202 5474 6069 6647 7038 8211 12138 13294 16422 18207 19941 24633 25537 36414 39882 46529 49266 51074 59823 76611 93058 119646 139587 153222 178759 229833 279174 357518 418761 434129 459666 536277 587351 837522 868258 1072554 1174702 1302387 1608831 1762053 2604774 3038903 3217662 3524106 3907161 4111457 5286159 6077806 7380193 7814322 8222914 9116709 9984967 10572318 12334371 14760386 18233418 19969934 22140579 24668742 27350127 29954901 37003113 44281158 51661351 54700254 59909802 66421737 69894769 74006226 89864703 103322702 132843474 139789538 154984053 169744439 179729406 209684307 309968106 339488878 419368614 464952159 509233317 629052921 929904318 1018466634 1188211073 1258105842 1527699951 2376422146 3055399902 3564633219 7129266438 10693899657 21387799314