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13678381353 = 371350103961
BaseRepresentation
bin11001011110100101…
…11000100100101001
31022022021021202201210
430233102320210221
5211003131200403
610141143103333
7662651215560
oct145722704451
938267252653
1013678381353
11588a0a93aa
122798a41b49
13139cab1ca0
1493a8b6bd7
15550ca3b03
hex32f4b8929

13678381353 has 16 divisors (see below), whose sum is σ = 22446574976. Its totient is φ = 7214970240.

The previous prime is 13678381291. The next prime is 13678381361. The reversal of 13678381353 is 35318387631.

13678381353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13678381353 - 214 = 13678364969 is a prime.

It is a super-2 number, since 2×136783813532 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13678381393) 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, 25051708 + ... + 25052253.

It is an arithmetic number, because the mean of its divisors is an integer number (1402910936).

Almost surely, 213678381353 is an apocalyptic number.

13678381353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13678381353 is a deficient number, since it is larger than the sum of its proper divisors (8768193623).

13678381353 is a wasteful number, since it uses less digits than its factorization.

13678381353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50103984.

The product of its digits is 1088640, while the sum is 48.

The spelling of 13678381353 in words is "thirteen billion, six hundred seventy-eight million, three hundred eighty-one thousand, three hundred fifty-three".

Divisors: 1 3 7 13 21 39 91 273 50103961 150311883 350727727 651351493 1052183181 1954054479 4559460451 13678381353