Search a number
-
+
12380497920 = 21133576397
BaseRepresentation
bin10111000011110111…
…10110100000000000
31011221211002110101000
423201323312200000
5200323401413140
65404301012000
7615541332060
oct134173664000
934854073330
1012380497920
11528351736a
122496254000
131223c3851b
148563873a0
154c6d80a30
hex2e1ef6800

12380497920 has 384 divisors, whose sum is σ = 50303635200. Its totient is φ = 2829385728.

The previous prime is 12380497879. The next prime is 12380497939. The reversal of 12380497920 is 2979408321.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932162 + ... + 1938558.

It is an arithmetic number, because the mean of its divisors is an integer number (130999050).

Almost surely, 212380497920 is an apocalyptic number.

12380497920 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 12380497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151817600).

12380497920 is an abundant number, since it is smaller than the sum of its proper divisors (37923137280).

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

12380497920 is an equidigital number, since it uses as much as digits as its factorization.

12380497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12380497920 in words is "twelve billion, three hundred eighty million, four hundred ninety-seven thousand, nine hundred twenty".