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12266448516 = 2236722932
BaseRepresentation
bin10110110110010001…
…10010011010000100
31011122212111011000000
423123020302122010
5200110202323031
65345104321300
7612655043400
oct133310623204
934585434000
1012266448516
1152250aa363
122464013230
131206415c7a
1484517a100
154bbd533e6
hex2db232684

12266448516 has 189 divisors, whose sum is σ = 37567565301. Its totient is φ = 3492738144.

The previous prime is 12266448479. The next prime is 12266448521. The reversal of 12266448516 is 61584466221.

It is a happy number.

The square root of 12266448516 is 110754.

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

12266448516 is a `hidden beast` number, since 12 + 26 + 64 + 48 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11605752900 + 660695616 = 107730^2 + 25704^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 41864866 + ... + 41865158.

Almost surely, 212266448516 is an apocalyptic number.

12266448516 is the 110754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12266448516

12266448516 is an abundant number, since it is smaller than the sum of its proper divisors (25301116785).

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

12266448516 is an frugal number, since it uses more digits than its factorization.

12266448516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 305 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 12266448516 in words is "twelve billion, two hundred sixty-six million, four hundred forty-eight thousand, five hundred sixteen".