Search a number
-
+
13634078961 = 313932695633
BaseRepresentation
bin11001011001010011…
…11000100011110001
31022012011220222021110
430230221320203301
5210410311011321
610132521343533
7661602521226
oct145451704361
938164828243
1013634078961
11586709a358
122786037ba9
131393870059
14934a6394d
1554be52176
hex32ca788f1

13634078961 has 8 divisors (see below), whose sum is σ = 18309555040. Its totient is φ = 9023994432.

The previous prime is 13634078959. The next prime is 13634079007. The reversal of 13634078961 is 16987043631.

It is a happy number.

13634078961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 13634078961 - 21 = 13634078959 is a prime.

It is a super-2 number, since 2×136340789612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13634078961.

It is not an unprimeable number, because it can be changed into a prime (13639078961) 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, 16347400 + ... + 16348233.

It is an arithmetic number, because the mean of its divisors is an integer number (2288694380).

Almost surely, 213634078961 is an apocalyptic number.

It is an amenable number.

13634078961 is a deficient number, since it is larger than the sum of its proper divisors (4675476079).

13634078961 is a wasteful number, since it uses less digits than its factorization.

13634078961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32695775.

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 13634078961 in words is "thirteen billion, six hundred thirty-four million, seventy-eight thousand, nine hundred sixty-one".

Divisors: 1 3 139 417 32695633 98086899 4544692987 13634078961