Search a number
-
+
12205623346496 = 26281678693469
BaseRepresentation
bin1011000110011101011111…
…0110000000010101000000
31121012211211212200101111022
42301213113312000111000
53044434104034041441
641543104100005012
72366553503430506
oct261472766002500
947184755611438
1012205623346496
1139864151a74a8
121451646690768
136a6ca6a4b908
14302a80864676
15162769dcb84b
hexb19d7d80540

12205623346496 has 28 divisors (see below), whose sum is σ = 24306727934580. Its totient is φ = 6081093473280.

The previous prime is 12205623346493. The next prime is 12205623346513. The reversal of 12205623346496 is 69464332650221.

It can be written as a sum of positive squares in 2 ways, for example, as 4969867662400 + 7235755684096 = 2229320^2 + 2689936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205623346493) 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 in 3 ways as a sum of consecutive naturals, for example, 339328751 + ... + 339364718.

It is an arithmetic number, because the mean of its divisors is an integer number (868097426235).

Almost surely, 212205623346496 is an apocalyptic number.

12205623346496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12205623346496 is a deficient number, since it is larger than the sum of its proper divisors (12101104588084).

12205623346496 is an equidigital number, since it uses as much as digits as its factorization.

12205623346496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678693762 (or 678693752 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 12205623346496 in words is "twelve trillion, two hundred five billion, six hundred twenty-three million, three hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 281 562 1124 2248 4496 8992 17984 678693469 1357386938 2714773876 5429547752 10859095504 21718191008 43436382016 190712864789 381425729578 762851459156 1525702918312 3051405836624 6102811673248 12205623346496