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13948684935 = 358311203763
BaseRepresentation
bin11001111110110100…
…00000101010000111
31100000002220121112120
430333122000222013
5212031330404220
610224040421023
71002442602633
oct147732005207
940002817476
1013948684935
115a0873a499
122853477773
131413ab3033
14964759dc3
15569898a40
hex33f680a87

13948684935 has 16 divisors (see below), whose sum is σ = 22586788224. Its totient is φ = 7349667872.

The previous prime is 13948684931. The next prime is 13948684999. The reversal of 13948684935 is 53948684931.

13948684935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13948684935 - 22 = 13948684931 is a prime.

It is a super-2 number, since 2×139486849352 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13948684931) 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 15 ways as a sum of consecutive naturals, for example, 5600637 + ... + 5603126.

It is an arithmetic number, because the mean of its divisors is an integer number (1411674264).

Almost surely, 213948684935 is an apocalyptic number.

13948684935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13948684935 is a deficient number, since it is larger than the sum of its proper divisors (8638103289).

13948684935 is a wasteful number, since it uses less digits than its factorization.

13948684935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203854.

The product of its digits is 22394880, while the sum is 60.

The spelling of 13948684935 in words is "thirteen billion, nine hundred forty-eight million, six hundred eighty-four thousand, nine hundred thirty-five".

Divisors: 1 3 5 15 83 249 415 1245 11203763 33611289 56018815 168056445 929912329 2789736987 4649561645 13948684935