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12409974720396 = 22331155757732503
BaseRepresentation
bin1011010010010110110000…
…1000101000011110001100
31121221101022110211202211000
42310211230020220132030
53111311112012023041
642221021431100300
72420406512440011
oct264455410503614
947841273752730
1012409974720396
113a5504a225280
121485177511690
136c0342706b36
1430c908803708
15167c2a381bb6
hexb496c22878c

12409974720396 has 192 divisors, whose sum is σ = 35223955522560. Its totient is φ = 3747225784320.

The previous prime is 12409974720383. The next prime is 12409974720431. The reversal of 12409974720396 is 69302747990421.

12409974720396 is a `hidden beast` number, since 1 + 2 + 40 + 9 + 97 + 472 + 0 + 39 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381793881 + ... + 381826383.

It is an arithmetic number, because the mean of its divisors is an integer number (183458101680).

Almost surely, 212409974720396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12409974720396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611977761280).

12409974720396 is an abundant number, since it is smaller than the sum of its proper divisors (22813980802164).

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

12409974720396 is a wasteful number, since it uses less digits than its factorization.

12409974720396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33661 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 12409974720396 in words is "twelve trillion, four hundred nine billion, nine hundred seventy-four million, seven hundred twenty thousand, three hundred ninety-six".