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16215344640 = 29345117109
BaseRepresentation
bin11110001101000001…
…01000011000000000
31112212002000212010000
433012200220120000
5231202112012030
611241011040000
71112555104155
oct170640503000
945762025100
1016215344640
116971159480
1231865a0000
1316b55839b1
14adb7ca22c
1564d881860
hex3c6828600

16215344640 has 400 divisors, whose sum is σ = 63366993360. Its totient is φ = 3930439680.

The previous prime is 16215344611. The next prime is 16215344659. The reversal of 16215344640 is 4644351261.

16215344640 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 5 + 3 + 4 + 4 + 640 = 666.

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 = 16215344595 and 16215344604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2277406 + ... + 2284514.

Almost surely, 216215344640 is an apocalyptic number.

16215344640 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 16215344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31683496680).

16215344640 is an abundant number, since it is smaller than the sum of its proper divisors (47151648720).

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

16215344640 is an equidigital number, since it uses as much as digits as its factorization.

16215344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16215344640 in words is "sixteen billion, two hundred fifteen million, three hundred forty-four thousand, six hundred forty".