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12413119864446 = 23271767283305633
BaseRepresentation
bin1011010010100010011110…
…0110011001111001111110
31121221200102122222122100200
42310220213212121321332
53111334032141130241
642222301502304330
72420550452636130
oct264504746317176
947850378878320
1012413119864446
113a56413610584
1214858b48880a6
136c07241a9c12
1430cb263cd050
15167d615464b6
hexb4a27999e7e

12413119864446 has 192 divisors, whose sum is σ = 33147899785728. Its totient is φ = 3276531523584.

The previous prime is 12413119864427. The next prime is 12413119864459. The reversal of 12413119864446 is 64446891131421.

12413119864446 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 3 + 1 + 198 + 6 + 4 + 446 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12413119864392 and 12413119864401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40461646 + ... + 40767278.

It is an arithmetic number, because the mean of its divisors is an integer number (172645311384).

Almost surely, 212413119864446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12413119864446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573949892864).

12413119864446 is an abundant number, since it is smaller than the sum of its proper divisors (20734779921282).

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

12413119864446 is a wasteful number, since it uses less digits than its factorization.

12413119864446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306015 (or 306012 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 12413119864446 in words is "twelve trillion, four hundred thirteen billion, one hundred nineteen million, eight hundred sixty-four thousand, four hundred forty-six".