Search a number
-
+
12399135110016 = 2732953131160367
BaseRepresentation
bin1011010001101110011000…
…0010110011001110000000
31121220100100001012111202220
42310123212002303032000
53111121412042010031
642212030052411040
72416544061325254
oct264334602631600
947810301174686
1012399135110016
113a50497585596
121483051316a80
136bc305aa83b5
1430c19ad64264
151677e3925596
hexb46e60b3380

12399135110016 has 256 divisors, whose sum is σ = 34978954982400. Its totient is φ = 3885321789440.

The previous prime is 12399135109969. The next prime is 12399135110027. The reversal of 12399135110016 is 61001153199321.

It is a self number, because there is not a number n which added to its sum of digits gives 12399135110016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77237065 + ... + 77397431.

It is an arithmetic number, because the mean of its divisors is an integer number (136636542900).

Almost surely, 212399135110016 is an apocalyptic number.

12399135110016 is a gapful number since it is divisible by the number (16) 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 12399135110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17489477491200).

12399135110016 is an abundant number, since it is smaller than the sum of its proper divisors (22579819872384).

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

12399135110016 is a wasteful number, since it uses less digits than its factorization.

12399135110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160597 (or 160585 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The spelling of 12399135110016 in words is "twelve trillion, three hundred ninety-nine billion, one hundred thirty-five million, one hundred ten thousand, sixteen".