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16426105344 = 29341136007
BaseRepresentation
bin11110100110001001…
…00111101000000000
31120101202121121110000
433103010213220000
5232120040332334
611313540240000
71121024406645
oct172304475000
946352547400
1016426105344
116a6a121080
1232250a0000
13171a137b7c
14b1b7addcc
15662114299
hex3d3127a00

16426105344 has 200 divisors, whose sum is σ = 53486139168. Its totient is φ = 4977469440.

The previous prime is 16426105331. The next prime is 16426105361. The reversal of 16426105344 is 44350162461.

16426105344 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 610 + 5 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16426105299 and 16426105308.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 438189 + ... + 474195.

Almost surely, 216426105344 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 16426105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743069584).

16426105344 is an abundant number, since it is smaller than the sum of its proper divisors (37060033824).

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

16426105344 is an equidigital number, since it uses as much as digits as its factorization.

16426105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36048 (or 36023 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16426105344 in words is "sixteen billion, four hundred twenty-six million, one hundred five thousand, three hundred forty-four".