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12480464656 = 2411225392
BaseRepresentation
bin10111001111110010…
…01100011100010000
31012012210012021221201
423213321030130100
5201024444332111
65422231400544
7621164125222
oct134771143420
935183167851
1012480464656
115324995900
122503823154
13123b869b3a
1486576a412
154d0a2a6c1
hex2e7e4c710

12480464656 has 45 divisors (see below), whose sum is σ = 26589478503. Its totient is φ = 5670704160.

The previous prime is 12480464651. The next prime is 12480464663. The reversal of 12480464656 is 65646408421.

The square root of 12480464656 is 111716.

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

12480464656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×124804646563 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12480464651) 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, 4914235 + ... + 4916773.

Almost surely, 212480464656 is an apocalyptic number.

12480464656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12480464656 is the 111716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12480464656

12480464656 is an abundant number, since it is smaller than the sum of its proper divisors (14109013847).

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

12480464656 is an frugal number, since it uses more digits than its factorization.

12480464656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 12480464656 in words is "twelve billion, four hundred eighty million, four hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2539 5078 10156 20312 27929 40624 55858 111716 223432 307219 446864 614438 1228876 2457752 4915504 6446521 12893042 25786084 51572168 70911731 103144336 141823462 283646924 567293848 780029041 1134587696 1560058082 3120116164 6240232328 12480464656