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16494354240 = 2635713349541
BaseRepresentation
bin11110101110010001…
…11101111101000000
31120120112001000022220
433113020331331000
5232240023313430
611324415131040
71122513461220
oct172710757500
946515030286
1016494354240
116aa46a6521
123243b13a80
13172b312630
14b26898080
156680e6110
hex3d723df40

16494354240 has 448 divisors, whose sum is σ = 64759027200. Its totient is φ = 3463741440.

The previous prime is 16494354223. The next prime is 16494354263. The reversal of 16494354240 is 4245349461.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16494354192 and 16494354201.

It is a congruent number.

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, 30488370 + ... + 30488910.

It is an arithmetic number, because the mean of its divisors is an integer number (144551400).

Almost surely, 216494354240 is an apocalyptic number.

16494354240 is a gapful number since it is divisible by the number (10) 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 16494354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32379513600).

16494354240 is an abundant number, since it is smaller than the sum of its proper divisors (48264672960).

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

16494354240 is a wasteful number, since it uses less digits than its factorization.

16494354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 16494354240 in words is "sixteen billion, four hundred ninety-four million, three hundred fifty-four thousand, two hundred forty".