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12382066944 = 28351361251
BaseRepresentation
bin10111000100000011…
…10101100100000000
31011221221001011200000
423202001311210000
5200324302120234
65404354400000
7615560555352
oct134201654400
934857034600
1012382066944
115284399185
122496890000
131224367740
148566750d2
154c7090899
hex2e2075900

12382066944 has 432 divisors, whose sum is σ = 40685770944. Its totient is φ = 3732480000.

The previous prime is 12382066933. The next prime is 12382066967. The reversal of 12382066944 is 44966028321.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 12382066944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49330819 + ... + 49331069.

Almost surely, 212382066944 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 12382066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342885472).

12382066944 is an abundant number, since it is smaller than the sum of its proper divisors (28303704000).

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

12382066944 is an equidigital number, since it uses as much as digits as its factorization.

12382066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12382066944 in words is "twelve billion, three hundred eighty-two million, sixty-six thousand, nine hundred forty-four".