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21423424615749 = 321323109683106937
BaseRepresentation
bin1001101111100000001111…
…00111010011010101000101
32210212001121022000002000200
410313300013213103111011
510302000133200200444
6113321441351401113
74340535301435212
oct467600747232505
983761538002020
1021423424615749
11690a6947628a2
1224a0005683199
13bc52b2c29690
14540c838c6b09
1527241472c969
hex137c079d3545

21423424615749 has 96 divisors (see below), whose sum is σ = 35144994044160. Its totient is φ = 12476341177344.

The previous prime is 21423424615661. The next prime is 21423424615771. The reversal of 21423424615749 is 94751642432412.

21423424615749 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 3 + 4 + 2 + 4 + 61 + 574 + 9 = 666.

It is not a de Polignac number, because 21423424615749 - 220 = 21423423567173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21423424615695 and 21423424615704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21423424611749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200283409 + ... + 200390345.

It is an arithmetic number, because the mean of its divisors is an integer number (366093687960).

Almost surely, 221423424615749 is an apocalyptic number.

It is an amenable number.

21423424615749 is a deficient number, since it is larger than the sum of its proper divisors (13721569428411).

21423424615749 is a wasteful number, since it uses less digits than its factorization.

21423424615749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107771 (or 107768 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 21423424615749 in words is "twenty-one trillion, four hundred twenty-three billion, four hundred twenty-four million, six hundred fifteen thousand, seven hundred forty-nine".

Divisors: 1 3 9 13 23 39 69 109 117 207 299 327 683 897 981 1417 2049 2507 2691 4251 6147 7521 8879 12753 15709 22563 26637 32591 47127 74447 79911 97773 106937 141381 204217 223341 293319 320811 612651 670023 962433 967811 1390181 1712281 1837953 2459551 2903433 4170543 5136843 7378653 8710299 11656133 12511629 15410529 22135959 22259653 31974163 34968399 66778959 73037971 95922489 104905197 151529729 200336877 219113913 268091059 287767467 454589187 657341739 804273177 949493623 1363767561 1679873333 2412819531 2848480869 3485183767 5039619999 7961138839 8545442607 10455551301 15118859997 21838353329 23883416517 31366653903 65515059987 71650249551 103494804907 183106193297 196545179961 310484414721 549318579891 931453244163 1647955739673 2380380512861 7141141538583 21423424615749