Search a number
-
+
12663711450 = 233521323137229
BaseRepresentation
bin10111100101101000…
…01110011011011010
31012200120000012022000
423302310032123122
5201413402231300
65452335141430
7625550525355
oct136264163332
935616005260
1012663711450
115409375935
122555074876
13126a8097b0
14881c2b29c
154e1b75c00
hex2f2d0e6da

12663711450 has 384 divisors, whose sum is σ = 39672460800. Its totient is φ = 2947000320.

The previous prime is 12663711449. The next prime is 12663711461. The reversal of 12663711450 is 5411736621.

12663711450 is a `hidden beast` number, since 1 + 2 + 6 + 637 + 1 + 14 + 5 + 0 = 666.

It is a super-2 number, since 2×126637114502 (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 55299936 + ... + 55300164.

It is an arithmetic number, because the mean of its divisors is an integer number (103313700).

Almost surely, 212663711450 is an apocalyptic number.

12663711450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12663711450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19836230400).

12663711450 is an abundant number, since it is smaller than the sum of its proper divisors (27008749350).

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

12663711450 is a wasteful number, since it uses less digits than its factorization.

12663711450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12663711450 in words is "twelve billion, six hundred sixty-three million, seven hundred eleven thousand, four hundred fifty".