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12393962496036 = 223211241213012
BaseRepresentation
bin1011010001011011000110…
…1110110110000000100100
31121212211222120000111100100
42310112301232312000210
53111030313344333121
642205412513344100
72416301641664112
oct264266156660044
947784876014310
1012393962496036
113a492827a0100
121482048b68030
136bb990260774
1430bc29dacab2
151675de774026
hexb45b1bb6024

12393962496036 has 243 divisors, whose sum is σ = 35323753699507. Its totient is φ = 3661326240000.

The previous prime is 12393962495933. The next prime is 12393962496049. The reversal of 12393962496036 is 63069426939321.

The square root of 12393962496036 is 3520506.

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

12393962496036 is a `hidden beast` number, since 1 + 23 + 9 + 3 + 96 + 2 + 496 + 0 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11571603710436 + 822358785600 = 3401706^2 + 906840^2 .

It is a super-2 number, since 2×123939624960362 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9526488586 + ... + 9526489886.

Almost surely, 212393962496036 is an apocalyptic number.

12393962496036 is the 3520506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12393962496036

12393962496036 is an abundant number, since it is smaller than the sum of its proper divisors (22929791203471).

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

12393962496036 is a wasteful number, since it uses less digits than its factorization.

12393962496036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 63.

The spelling of 12393962496036 in words is "twelve trillion, three hundred ninety-three billion, nine hundred sixty-two million, four hundred ninety-six thousand, thirty-six".