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396380013492096 = 2733179077438439
BaseRepresentation
bin101101000100000010110100…
…1111001100111011110000000
31220222110120002122222222122000
41122020011221321213132000
5403423242231423221341
63523010244144544000
7146330340151205664
oct13210055171473600
91828416078888560
10396380013492096
111053319020131a7
1238559128622000
131402362342ac1a
146dc4c75cd88a4
1530c5b490b88b6
hex1688169e67780

396380013492096 has 256 divisors, whose sum is σ = 1240053406272000. Its totient is φ = 124217392029696.

The previous prime is 396380013492091. The next prime is 396380013492097. The reversal of 396380013492096 is 690294310083693.

396380013492096 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 80 + 0 + 1 + 349 + 209 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396380013492091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49568845 + ... + 57007283.

It is an arithmetic number, because the mean of its divisors is an integer number (4843958618250).

Almost surely, 2396380013492096 is an apocalyptic number.

396380013492096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396380013492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620026703136000).

396380013492096 is an abundant number, since it is smaller than the sum of its proper divisors (843673392779904).

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

396380013492096 is a wasteful number, since it uses less digits than its factorization.

396380013492096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7439386 (or 7439368 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 396380013492096 in words is "three hundred ninety-six trillion, three hundred eighty billion, thirteen million, four hundred ninety-two thousand, ninety-six".