Search a number
-
+
12386607373920 = 2535136829290677
BaseRepresentation
bin1011010000111111101101…
…0101010001111001100000
31121212010222222001120121010
42310033323111101321200
53110420232441431140
642202155011500520
72415621451325313
oct264177325217140
947763888046533
1012386607373920
113a46148a42a8a
1214807358b7740
136bb08a4ca0c0
1430b72d21097a
1516730dbad880
hexb43fb551e60

12386607373920 has 192 divisors, whose sum is σ = 42025481104320. Its totient is φ = 3048554078208.

The previous prime is 12386607373849. The next prime is 12386607373951. The reversal of 12386607373920 is 2937370668321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42467622 + ... + 42758298.

It is an arithmetic number, because the mean of its divisors is an integer number (218882714085).

Almost surely, 212386607373920 is an apocalyptic number.

12386607373920 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 12386607373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012740552160).

12386607373920 is an abundant number, since it is smaller than the sum of its proper divisors (29638873730400).

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

12386607373920 is a wasteful number, since it uses less digits than its factorization.

12386607373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297537 (or 297529 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 12386607373920 in words is "twelve trillion, three hundred eighty-six billion, six hundred seven million, three hundred seventy-three thousand, nine hundred twenty".