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16497798240 = 2535721131731
BaseRepresentation
bin11110101110101100…
…00110110001100000
31120120202111222121110
433113112012301200
5232241414020430
611325021023320
71122554654100
oct172726066140
946522458543
1016497798240
116aa6639000
1232450b4b40
13172bc4a0c1
14b27113200
156685767b0
hex3d7586c60

16497798240 has 1152 divisors, whose sum is σ = 72675864576. Its totient is φ = 3122380800.

The previous prime is 16497798227. The next prime is 16497798253. The reversal of 16497798240 is 4289779461.

It is a happy number.

16497798240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16497798227) and next prime (16497798253).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 532187025 + ... + 532187055.

It is an arithmetic number, because the mean of its divisors is an integer number (63086688).

Almost surely, 216497798240 is an apocalyptic number.

16497798240 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 16497798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36337932288).

16497798240 is an abundant number, since it is smaller than the sum of its proper divisors (56178066336).

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

16497798240 is a wasteful number, since it uses less digits than its factorization.

16497798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 16497798240 in words is "sixteen billion, four hundred ninety-seven million, seven hundred ninety-eight thousand, two hundred forty".