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13630817421 = 3213193603641
BaseRepresentation
bin11001011000111010…
…11100010010001101
31022011221210021021200
430230131130102031
5210403442124141
610132323420113
7661533015324
oct145435342215
938157707250
1013630817421
115865271971
122784b24639
131392c9a650
149344550bb
1554ba0aab6
hex32c75c48d

13630817421 has 24 divisors (see below), whose sum is σ = 21313391736. Its totient is φ = 8344719360.

The previous prime is 13630817411. The next prime is 13630817437. The reversal of 13630817421 is 12471803631.

It is a happy number.

13630817421 is a `hidden beast` number, since 1 + 3 + 630 + 8 + 17 + 4 + 2 + 1 = 666.

13630817421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37822500 + 13592994921 = 6150^2 + 116589^2 .

It is not a de Polignac number, because 13630817421 - 26 = 13630817357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630817411) 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 23 ways as a sum of consecutive naturals, for example, 279240 + ... + 324401.

It is an arithmetic number, because the mean of its divisors is an integer number (888057989).

Almost surely, 213630817421 is an apocalyptic number.

It is an amenable number.

13630817421 is a deficient number, since it is larger than the sum of its proper divisors (7682574315).

13630817421 is a wasteful number, since it uses less digits than its factorization.

13630817421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603853 (or 603850 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13630817421 in words is "thirteen billion, six hundred thirty million, eight hundred seventeen thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 193 579 1737 2509 7527 22581 603641 1810923 5432769 7847333 23541999 70625997 116502713 349508139 1048524417 1514535269 4543605807 13630817421