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12649051024 = 243129072
BaseRepresentation
bin10111100011111000…
…10011001110010000
31012122112102100222021
423301330103032100
5201401124113044
65451053021224
7625312105531
oct136174231620
935575370867
1012649051024
115401072285
122550184814
13126777589c
1487dcd2688
154e072be84
hex2f1f13390

12649051024 has 45 divisors (see below), whose sum is σ = 25351555131. Its totient is φ = 6113760480.

The previous prime is 12649051021. The next prime is 12649051031. The reversal of 12649051024 is 42015094621.

The square root of 12649051024 is 112468.

It is a perfect power (a square), and thus also a powerful number.

12649051024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12649051021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13945579 + ... + 13946485.

Almost surely, 212649051024 is an apocalyptic number.

12649051024 is the 112468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12649051024

12649051024 is an abundant number, since it is smaller than the sum of its proper divisors (12702504107).

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

12649051024 is an frugal number, since it uses more digits than its factorization.

12649051024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 12649051024 in words is "twelve billion, six hundred forty-nine million, fifty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 907 961 1814 1922 3628 3844 7256 7688 14512 15376 28117 56234 112468 224936 449872 822649 871627 1645298 1743254 3290596 3486508 6581192 6973016 13162384 13946032 25502119 51004238 102008476 204016952 408033904 790565689 1581131378 3162262756 6324525512 12649051024