Search a number
-
+
13851000000 = 26365619
BaseRepresentation
bin11001110011001010…
…10111110011000000
31022202022002201000000
430321211113303000
5211331324000000
610210231000000
71000145362125
oct147145276300
938668081000
1013851000000
11596858a342
122826809000
1313c97a01b6
149557ac74c
15561000000
hex339957cc0

13851000000 has 686 divisors, whose sum is σ = 54222352820. Its totient is φ = 3499200000.

The previous prime is 13850999999. The next prime is 13851000001. The reversal of 13851000000 is 15831.

It is a happy number.

13851000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13850999999) and next prime (13851000001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 13851000000 = 3003 + 24003 = 13503 + 22503.

It is not an unprimeable number, because it can be changed into a prime (13851000001) 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 97 ways as a sum of consecutive naturals, for example, 728999991 + ... + 729000009.

Almost surely, 213851000000 is an apocalyptic number.

13851000000 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 13851000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27111176410).

13851000000 is an abundant number, since it is smaller than the sum of its proper divisors (40371352820).

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

13851000000 is an frugal number, since it uses more digits than its factorization.

13851000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 13851000000 its reverse (15831), we get a palindrome (13851015831).

The spelling of 13851000000 in words is "thirteen billion, eight hundred fifty-one million", and thus it is an aban number.