Search a number
-
+
12805116328 = 231600639541
BaseRepresentation
bin10111110110011111…
…01001000110101000
31020001102002022022201
423323033221012220
5202211102210303
65514350025544
7632215456444
oct137317510650
936042068281
1012805116328
115481177474
1225944a82b4
131290bb9414
14896919824
154ee2a881d
hex2fb3e91a8

12805116328 has 8 divisors (see below), whose sum is σ = 24009593130. Its totient is φ = 6402558160.

The previous prime is 12805116323. The next prime is 12805116343. The reversal of 12805116328 is 82361150821.

It can be written as a sum of positive squares in only one way, i.e., 11650611844 + 1154504484 = 107938^2 + 33978^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×128051163283 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12805116323) by changing a digit.

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 as a sum of consecutive naturals, namely, 800319763 + ... + 800319778.

Almost surely, 212805116328 is an apocalyptic number.

It is an amenable number.

12805116328 is a deficient number, since it is larger than the sum of its proper divisors (11204476802).

12805116328 is a wasteful number, since it uses less digits than its factorization.

12805116328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600639547 (or 1600639543 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 12805116328 in words is "twelve billion, eight hundred five million, one hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 1600639541 3201279082 6402558164 12805116328