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16324439040 = 21032571317229
BaseRepresentation
bin11110011010000001…
…10010110000000000
31120010200022102111100
433031000302300000
5231413024022130
611255505214400
71115351304510
oct171500626000
946120272440
1016324439040
116a177a1738
1231b7031400
13170205cab0
14b0c0a7840
15658230c60
hex3cd032c00

16324439040 has 1056 divisors, whose sum is σ = 74033930880. Its totient is φ = 3227516928.

The previous prime is 16324439011. The next prime is 16324439099. The reversal of 16324439040 is 4093442361.

It is a happy number.

16324439040 is a `hidden beast` number, since 163 + 24 + 439 + 0 + 40 = 666.

It is a super-2 number, since 2×163244390402 (a number of 21 digits) contains 22 as substring.

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 = 16324438986 and 16324439004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71285646 + ... + 71285874.

Almost surely, 216324439040 is an apocalyptic number.

16324439040 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 16324439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37016965440).

16324439040 is an abundant number, since it is smaller than the sum of its proper divisors (57709491840).

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

16324439040 is a wasteful number, since it uses less digits than its factorization.

16324439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 16324439040 in words is "sixteen billion, three hundred twenty-four million, four hundred thirty-nine thousand, forty".