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12196746003456 = 210327251972
BaseRepresentation
bin1011000101111100011010…
…1101101000010000000000
31121011222221012101122012100
42301133012231220100000
53044312413434102311
641535035135430400
72366120510315100
oct261370655502000
947158835348170
1012196746003456
11398267a172263
12144b989685400
136a61c0815a01
1430247b85b200
151623ea87ca56
hexb17c6b68400

12196746003456 has 297 divisors, whose sum is σ = 40975575195789. Its totient is φ = 3484114034688.

The previous prime is 12196746003433. The next prime is 12196746003461. The reversal of 12196746003456 is 65430064769121.

It is a happy number.

The square root of 12196746003456 is 3492384.

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

12196746003456 is a `hidden beast` number, since 1 + 21 + 9 + 6 + 7 + 4 + 600 + 3 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5579421926400 + 6617324077056 = 2362080^2 + 2572416^2 .

It is a super-2 number, since 2×121967460034562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2346879450 + ... + 2346884646.

Almost surely, 212196746003456 is an apocalyptic number.

12196746003456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12196746003456 is the 3492384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12196746003456

12196746003456 is an abundant number, since it is smaller than the sum of its proper divisors (28778829192333).

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

12196746003456 is an frugal number, since it uses more digits than its factorization.

12196746003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12196746003456 in words is "twelve trillion, one hundred ninety-six billion, seven hundred forty-six million, three thousand, four hundred fifty-six".