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16942882320 = 2433571386197
BaseRepresentation
bin11111100011101111…
…11101111000010000
31121201210000121012000
433301313331320100
5234144334213240
611441120434000
71136601060240
oct176167757020
947653017160
1016942882320
1172048a7291
12334a178900
1317a0215370
14b6a291b20
15692693430
hex3f1dfde10

16942882320 has 320 divisors, whose sum is σ = 71827069440. Its totient is φ = 3574720512.

The previous prime is 16942882301. The next prime is 16942882351. The reversal of 16942882320 is 2328824961.

It is a super-2 number, since 2×169428823202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153462 + ... + 239658.

It is an arithmetic number, because the mean of its divisors is an integer number (224459592).

Almost surely, 216942882320 is an apocalyptic number.

16942882320 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 16942882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35913534720).

16942882320 is an abundant number, since it is smaller than the sum of its proper divisors (54884187120).

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

16942882320 is a wasteful number, since it uses less digits than its factorization.

16942882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86239 (or 86227 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16942882320 in words is "sixteen billion, nine hundred forty-two million, eight hundred eighty-two thousand, three hundred twenty".