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13693983240 = 23357197910861
BaseRepresentation
bin11001100000011100…
…11001101000001000
31022100100122102111110
430300032121220020
5211021124430430
610142501330320
7663230636250
oct146016315010
938310572443
1013693983240
115897995323
1227a21069a0
1313a30b5582
1493c9b8960
155523367b0
hex330399a08

13693983240 has 256 divisors, whose sum is σ = 50052096000. Its totient is φ = 2927508480.

The previous prime is 13693983229. The next prime is 13693983241. The reversal of 13693983240 is 4238939631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13693983240.

It is not an unprimeable number, because it can be changed into a prime (13693983241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1255410 + ... + 1266270.

It is an arithmetic number, because the mean of its divisors is an integer number (195516000).

Almost surely, 213693983240 is an apocalyptic number.

13693983240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13693983240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25026048000).

13693983240 is an abundant number, since it is smaller than the sum of its proper divisors (36358112760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13693983240 is a wasteful number, since it uses less digits than its factorization.

13693983240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10980 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 13693983240 in words is "thirteen billion, six hundred ninety-three million, nine hundred eighty-three thousand, two hundred forty".