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16631140240 = 24511213283467
BaseRepresentation
bin11110111110100101…
…10000111110010000
31120221001102110110001
433133102300332100
5233030032441430
611350143015344
71126064234221
oct173722607620
946831373401
1016631140240
117064932900
12328189a554
131750765ab0
14b3ab03248
156751153ca
hex3df4b0f90

16631140240 has 240 divisors, whose sum is σ = 46031678784. Its totient is φ = 5550842880.

The previous prime is 16631140217. The next prime is 16631140261. The reversal of 16631140240 is 4204113661.

It is a junction number, because it is equal to n+sod(n) for n = 16631140199 and 16631140208.

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 47 ways as a sum of consecutive naturals, for example, 35612487 + ... + 35612953.

Almost surely, 216631140240 is an apocalyptic number.

16631140240 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 16631140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015839392).

16631140240 is an abundant number, since it is smaller than the sum of its proper divisors (29400538544).

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

16631140240 is a wasteful number, since it uses less digits than its factorization.

16631140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 16631140240 in words is "sixteen billion, six hundred thirty-one million, one hundred forty thousand, two hundred forty".