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16783230240 = 2533574312907
BaseRepresentation
bin11111010000101101…
…11100010100100000
31121022122121102201000
433220112330110200
5233333001331430
611413214512000
71132622050260
oct175026742440
947278542630
1016783230240
117132772317
123304805600
13177611708a
14b52db37a0
15683658e60
hex3e85bc520

16783230240 has 384 divisors, whose sum is σ = 68699473920. Its totient is φ = 3746663424.

The previous prime is 16783230227. The next prime is 16783230241. The reversal of 16783230240 is 4203238761.

It is a happy number.

16783230240 is nontrivially palindromic in base 11.

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 = 16783230195 and 16783230204.

It is not an unprimeable number, because it can be changed into a prime (16783230241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293867 + ... + 1306773.

It is an arithmetic number, because the mean of its divisors is an integer number (178904880).

Almost surely, 216783230240 is an apocalyptic number.

16783230240 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 16783230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34349736960).

16783230240 is an abundant number, since it is smaller than the sum of its proper divisors (51916243680).

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

16783230240 is a wasteful number, since it uses less digits than its factorization.

16783230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12981 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 16783230240 in words is "sixteen billion, seven hundred eighty-three million, two hundred thirty thousand, two hundred forty".