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210056653413 = 3237898098761
BaseRepresentation
bin1100001110100001011…
…0100010101001100101
3202002012012122121111100
43003220112202221211
511420144000402123
6240255415030313
721114254044155
oct3035026425145
9662165577440
10210056653413
11810a2560812
123486366b399
1316a67984279
14a249990765
1556e62c3643
hex30e85a2a65

210056653413 has 48 divisors (see below), whose sum is σ = 315542401200. Its totient is φ = 134540144640.

The previous prime is 210056653409. The next prime is 210056653423. The reversal of 210056653413 is 314356650012.

210056653413 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 566 + 53 + 41 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 176305284 + 209880348129 = 13278^2 + 458127^2 .

It is not a de Polignac number, because 210056653413 - 22 = 210056653409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210056653423) 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, 23971953 + ... + 23980713.

It is an arithmetic number, because the mean of its divisors is an integer number (6573800025).

Almost surely, 2210056653413 is an apocalyptic number.

It is an amenable number.

210056653413 is a deficient number, since it is larger than the sum of its proper divisors (105485747787).

210056653413 is a wasteful number, since it uses less digits than its factorization.

210056653413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 210056653413 in words is "two hundred ten billion, fifty-six million, six hundred fifty-three thousand, four hundred thirteen".

Divisors: 1 3 9 37 89 111 267 333 801 809 2427 3293 7281 8761 9879 26283 29637 29933 72001 78849 89799 216003 269397 324157 648009 779729 972471 2339187 2664037 2917413 7017561 7087649 7992111 21262947 23976333 28849973 63788841 86549919 259649757 262243013 630800761 786729039 1892402283 2360187117 5677206849 23339628157 70018884471 210056653413