Search a number
-
+
13283075616 = 253138365371
BaseRepresentation
bin11000101111011101…
…11010011000100000
31021021201110011012120
430113232322120200
5204200431404431
610034022224240
7650111164656
oct142756723040
937251404176
1013283075616
1156a6a4a348
1226a8585080
131338c25275
149001b4dd6
1552b21b196
hex317bba620

13283075616 has 24 divisors (see below), whose sum is σ = 34868073744. Its totient is φ = 4427691840.

The previous prime is 13283075599. The next prime is 13283075651. The reversal of 13283075616 is 61657038231.

13283075616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69182590 + ... + 69182781.

It is an arithmetic number, because the mean of its divisors is an integer number (1452836406).

Almost surely, 213283075616 is an apocalyptic number.

13283075616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13283075616 is an abundant number, since it is smaller than the sum of its proper divisors (21584998128).

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

13283075616 is a wasteful number, since it uses less digits than its factorization.

13283075616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138365384 (or 138365376 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 13283075616 in words is "thirteen billion, two hundred eighty-three million, seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 138365371 276730742 415096113 553461484 830192226 1106922968 1660384452 2213845936 3320768904 4427691872 6641537808 13283075616