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21264269765949 = 337217945456839
BaseRepresentation
bin1001101010110111110010…
…01111101110110100111101
32210021211210112002000011000
410311123321033232310331
510241343211030002244
6113120400510520513
74323202266513600
oct465337117566475
983254715060130
1021264269765949
116859142a19581
1224751a8b06139
13bb329aac0742
145372a6332337
1526d1ec085169
hex1356f93eed3d

21264269765949 has 48 divisors (see below), whose sum is σ = 38801548713600. Its totient is φ = 11436245912448.

The previous prime is 21264269765927. The next prime is 21264269765953. The reversal of 21264269765949 is 94956796246212.

21264269765949 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 4 + 26 + 9 + 7 + 6 + 594 + 9 = 666.

It is not a de Polignac number, because 21264269765949 - 29 = 21264269765437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21264269765149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472705929 + ... + 472750910.

It is an arithmetic number, because the mean of its divisors is an integer number (808365598200).

Almost surely, 221264269765949 is an apocalyptic number.

It is an amenable number.

21264269765949 is a deficient number, since it is larger than the sum of its proper divisors (17537278947651).

21264269765949 is a wasteful number, since it uses less digits than its factorization.

21264269765949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945456879 (or 945456866 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 21264269765949 in words is "twenty-one trillion, two hundred sixty-four billion, two hundred sixty-nine million, seven hundred sixty-five thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 833 1071 1323 2499 3213 7497 22491 945456839 2836370517 6618197873 8509111551 16072766263 19854593619 25527334653 46327385111 48218298789 59563780857 112509363841 138982155333 144654896367 178691342571 337528091523 416946465999 433964689101 787565546887 1012584274569 1250839397997 2362696640661 3037752823707 7088089921983 21264269765949