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13768765225 = 521998213371
BaseRepresentation
bin11001101001010111…
…01010111100101001
31022112120100202002121
430310223222330221
5211144300441400
610154132231241
7665126400445
oct146453527451
938476322077
1013768765225
115926122116
12280316b521
1313b5739877
149488c3825
15558ba921a
hex334aeaf29

13768765225 has 24 divisors (see below), whose sum is σ = 17185060800. Its totient is φ = 10943064000.

The previous prime is 13768765217. The next prime is 13768765237. The reversal of 13768765225 is 52256786731.

It is a happy number.

It is not a de Polignac number, because 13768765225 - 23 = 13768765217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4082790 + ... + 4086160.

It is an arithmetic number, because the mean of its divisors is an integer number (716044200).

Almost surely, 213768765225 is an apocalyptic number.

It is an amenable number.

13768765225 is a deficient number, since it is larger than the sum of its proper divisors (3416295575).

13768765225 is a wasteful number, since it uses less digits than its factorization.

13768765225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4396 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 52.

The spelling of 13768765225 in words is "thirteen billion, seven hundred sixty-eight million, seven hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 199 821 995 3371 4105 4975 16855 20525 84275 163379 670829 816895 2767591 3354145 4084475 13837955 16770725 69189775 550750609 2753753045 13768765225