Search a number
-
+
12863511045 = 3357111237471
BaseRepresentation
bin10111111101011100…
…11001101000000101
31020012110222001211000
423332232121220011
5202321024323140
65524233403513
7633525016440
oct137656315005
936173861730
1012863511045
115501131270
1225abb69599
1312a00237c8
148a059a657
15504490a30
hex2feb99a05

12863511045 has 64 divisors (see below), whose sum is σ = 28511354880. Its totient is φ = 5345870400.

The previous prime is 12863511029. The next prime is 12863511077. The reversal of 12863511045 is 54011536821.

12863511045 is a `hidden beast` number, since 1 + 2 + 8 + 635 + 1 + 10 + 4 + 5 = 666.

It is not a de Polignac number, because 12863511045 - 24 = 12863511029 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 608341 + ... + 629130.

It is an arithmetic number, because the mean of its divisors is an integer number (445489920).

Almost surely, 212863511045 is an apocalyptic number.

12863511045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12863511045 is an abundant number, since it is smaller than the sum of its proper divisors (15647843835).

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

12863511045 is a wasteful number, since it uses less digits than its factorization.

12863511045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237503 (or 1237497 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12863511045 in words is "twelve billion, eight hundred sixty-three million, five hundred eleven thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395 1237471 3712413 6187355 8662297 11137239 13612181 18562065 25986891 33411717 40836543 43311485 55686195 68060905 77960673 95285267 122509629 129934455 167058585 204182715 233882019 285855801 367528887 389803365 476426335 612548145 857567403 1169410095 1429279005 1837644435 2572702209 4287837015 12863511045