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16441909890 = 235717293147109
BaseRepresentation
bin11110101000000001…
…11010001010000010
31120102212100120012120
433110000322022002
5232133112104030
611315303105110
71121305633230
oct172400721202
946385316176
1016441909890
116a7803628a
12322a442196
1317204ac783
14b1d925950
156636d7010
hex3d403a282

16441909890 has 512 divisors, whose sum is σ = 52553318400. Its totient is φ = 3204956160.

The previous prime is 16441909877. The next prime is 16441909903. The reversal of 16441909890 is 9890914461.

It is an interprime number because it is at equal distance from previous prime (16441909877) and next prime (16441909903).

It is a super-3 number, since 3×164419098903 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 150843156 + ... + 150843264.

It is an arithmetic number, because the mean of its divisors is an integer number (102643200).

Almost surely, 216441909890 is an apocalyptic number.

16441909890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16441909890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26276659200).

16441909890 is an abundant number, since it is smaller than the sum of its proper divisors (36111408510).

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

16441909890 is a wasteful number, since it uses less digits than its factorization.

16441909890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250.

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 16441909890 in words is "sixteen billion, four hundred forty-one million, nine hundred nine thousand, eight hundred ninety".