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13849245312 = 273719373727
BaseRepresentation
bin11001110010111101…
…01011011010000000
31022202011210120000120
430321132223122000
5211330401322222
610210125220240
71000124433330
oct147136533200
938664716016
1013849245312
1159675a0a91
122826101680
1313c9307616
149554730c0
15560ca515c
hex3397ab680

13849245312 has 256 divisors, whose sum is σ = 44434790400. Its totient is φ = 3733475328.

The previous prime is 13849245283. The next prime is 13849245317. The reversal of 13849245312 is 21354294831.

It is a happy number.

13849245312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13849245317) 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 31 ways as a sum of consecutive naturals, for example, 19049493 + ... + 19050219.

It is an arithmetic number, because the mean of its divisors is an integer number (173573400).

Almost surely, 213849245312 is an apocalyptic number.

13849245312 is a gapful number since it is divisible by the number (12) 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 13849245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217395200).

13849245312 is an abundant number, since it is smaller than the sum of its proper divisors (30585545088).

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

13849245312 is a wasteful number, since it uses less digits than its factorization.

13849245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 13849245312 in words is "thirteen billion, eight hundred forty-nine million, two hundred forty-five thousand, three hundred twelve".