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21705649251 = 31121315729297
BaseRepresentation
bin10100001101110000…
…011110110001100011
32002000201000020011020
4110031300132301203
5323423121234001
613545455220523
71365612655146
oct241560366143
962021006136
1021705649251
119229300600
124259217743
13207bb81650
14109ca3c05d
15870888736
hex50dc1ec63

21705649251 has 48 divisors (see below), whose sum is σ = 34477417632. Its totient is φ = 12065264640.

The previous prime is 21705649247. The next prime is 21705649291. The reversal of 21705649251 is 15294650712.

It is not a de Polignac number, because 21705649251 - 22 = 21705649247 is a prime.

It is a super-2 number, since 2×217056492512 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21705649241) 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, 726235 + ... + 755531.

It is an arithmetic number, because the mean of its divisors is an integer number (718279534).

Almost surely, 221705649251 is an apocalyptic number.

21705649251 is a deficient number, since it is larger than the sum of its proper divisors (12771768381).

21705649251 is a wasteful number, since it uses less digits than its factorization.

21705649251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29492 (or 29481 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 21705649251 in words is "twenty-one billion, seven hundred five million, six hundred forty-nine thousand, two hundred fifty-one".

Divisors: 1 3 11 13 33 39 121 143 157 363 429 471 1573 1727 2041 4719 5181 6123 18997 22451 29297 56991 67353 87891 246961 322267 380861 740883 966801 1142583 3544937 4189471 4599629 10634811 12568413 13798887 46084181 50595919 59795177 138252543 151787757 179385531 556555109 657746947 1669665327 1973240841 7235216417 21705649251