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13947373801 = 17269472
BaseRepresentation
bin11001111110101010…
…00000100011101001
31100000000110000000001
430333111000203221
5212031011430201
610223552343001
71002425502244
oct147725004351
940000400001
1013947373801
115a07a24409
122852b44a61
13141374430a
149644d825b
155696da301
hex33f5408e9

13947373801 has 9 divisors (see below), whose sum is σ = 14818201399. Its totient is φ = 13125050464.

The previous prime is 13947373799. The next prime is 13947373819. The reversal of 13947373801 is 10837374931.

The square root of 13947373801 is 118099.

It is a perfect power (a square), and thus also a powerful number.

13947373801 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 only one way, i.e., 10858682025 + 3088691776 = 104205^2 + 55576^2 .

It is not a de Polignac number, because 13947373801 - 21 = 13947373799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13947373201) 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 8 ways as a sum of consecutive naturals, for example, 2004210 + ... + 2011156.

Almost surely, 213947373801 is an apocalyptic number.

13947373801 is the 118099-th square number.

13947373801 is the 59050-th centered octagonal number.

It is an amenable number.

13947373801 is a deficient number, since it is larger than the sum of its proper divisors (870827598).

13947373801 is an frugal number, since it uses more digits than its factorization.

13947373801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 13947373801 in words is "thirteen billion, nine hundred forty-seven million, three hundred seventy-three thousand, eight hundred one".

Divisors: 1 17 289 6947 118099 2007683 48260809 820433753 13947373801