Search a number
-
+
13399280640 = 2103252937271
BaseRepresentation
bin11000111101010100…
…01100110000000000
31021120211002222112100
430132222030300000
5204420203440030
610053333030400
7653022002064
oct143652146000
937524088470
1013399280640
1157565a9959
12271b485400
131357020a35
149117c3aa4
15536522360
hex31ea8cc00

13399280640 has 528 divisors, whose sum is σ = 49509233280. Its totient is φ = 3344302080.

The previous prime is 13399280633. The next prime is 13399280647. The reversal of 13399280640 is 4608299331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13399280633) and next prime (13399280647).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13399280647) 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 47 ways as a sum of consecutive naturals, for example, 49443705 + ... + 49443975.

Almost surely, 213399280640 is an apocalyptic number.

13399280640 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 13399280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24754616640).

13399280640 is an abundant number, since it is smaller than the sum of its proper divisors (36109952640).

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

13399280640 is a wasteful number, since it uses less digits than its factorization.

13399280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13399280640 in words is "thirteen billion, three hundred ninety-nine million, two hundred eighty thousand, six hundred forty".