Search a number
-
+
13643627281 = 611372116301
BaseRepresentation
bin11001011010011100…
…10011101100010001
31022012211220002002221
430231032103230101
5210420232033111
610133502141041
7662046630004
oct145516235421
938184802087
1013643627281
115871521129
122789281781
13139583414b
1493602b53b
1554cbdb371
hex32d393b11

13643627281 has 8 divisors (see below), whose sum is σ = 13869154728. Its totient is φ = 13418160000.

The previous prime is 13643627273. The next prime is 13643627299. The reversal of 13643627281 is 18272634631.

13643627281 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 206180881 + 13437446400 = 14359^2 + 115920^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13643627281 - 23 = 13643627273 is a prime.

It is a super-2 number, since 2×136436272812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13643627581) 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 7 ways as a sum of consecutive naturals, for example, 828831 + ... + 845131.

It is an arithmetic number, because the mean of its divisors is an integer number (1733644341).

Almost surely, 213643627281 is an apocalyptic number.

It is an amenable number.

13643627281 is a deficient number, since it is larger than the sum of its proper divisors (225527447).

13643627281 is a wasteful number, since it uses less digits than its factorization.

13643627281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30083.

The product of its digits is 290304, while the sum is 43.

The spelling of 13643627281 in words is "thirteen billion, six hundred forty-three million, six hundred twenty-seven thousand, two hundred eighty-one".

Divisors: 1 61 13721 16301 836981 994361 223666021 13643627281