Search a number
-
+
13963207680 = 2103752943
BaseRepresentation
bin11010000000100010…
…11010010000000000
31100001010020110000000
431000101122100000
5212044040121210
610225320000000
71003010210202
oct150021322000
940033213000
1013963207680
115a15959664
122858300000
131416ac9386
1496665a772
1556acb6ac0
hex34045a400

13963207680 has 704 divisors, whose sum is σ = 53176147200. Its totient is φ = 3511517184.

The previous prime is 13963207639. The next prime is 13963207729. The reversal of 13963207680 is 8670236931.

13963207680 is a `hidden beast` number, since 1 + 3 + 9 + 632 + 0 + 7 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324725739 + ... + 324725781.

It is an arithmetic number, because the mean of its divisors is an integer number (75534300).

Almost surely, 213963207680 is an apocalyptic number.

13963207680 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 13963207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26588073600).

13963207680 is an abundant number, since it is smaller than the sum of its proper divisors (39212939520).

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

13963207680 is an frugal number, since it uses more digits than its factorization.

13963207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13963207680 in words is "thirteen billion, nine hundred sixty-three million, two hundred seven thousand, six hundred eighty".