Search a number
-
+
12254411605146 = 233165883933361
BaseRepresentation
bin1011001001010011001111…
…0110011100010010011010
31121101111210000101201110220
42302110303312130102122
53101234013332331041
642021333213420510
72403231512663604
oct262246366342232
947344700351426
1012254411605146
1139a5080974317
12145aba179a736
136ab780745b09
1430518c28a174
15163b731b6d66
hexb2533d9c49a

12254411605146 has 16 divisors (see below), whose sum is σ = 25299430411008. Its totient is φ = 3953036001600.

The previous prime is 12254411605129. The next prime is 12254411605153. The reversal of 12254411605146 is 64150611445221.

12254411605146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12254411605098 and 12254411605107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32941966495 + ... + 32941966866.

It is an arithmetic number, because the mean of its divisors is an integer number (1581214400688).

Almost surely, 212254411605146 is an apocalyptic number.

12254411605146 is an abundant number, since it is smaller than the sum of its proper divisors (13045018805862).

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

12254411605146 is a wasteful number, since it uses less digits than its factorization.

12254411605146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65883933397.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 12254411605146 in words is "twelve trillion, two hundred fifty-four billion, four hundred eleven million, six hundred five thousand, one hundred forty-six".

Divisors: 1 2 3 6 31 62 93 186 65883933361 131767866722 197651800083 395303600166 2042401934191 4084803868382 6127205802573 12254411605146