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16423941600 = 253252111311583
BaseRepresentation
bin11110100101111000…
…10111010111100000
31120101121112200100100
433102330113113200
5232114012112400
611313422022400
71121000125443
oct172274272740
946347480310
1016423941600
116a68983460
123224417a00
13171985b051
14b1b3a965a
15661d38100
hex3d2f175e0

16423941600 has 432 divisors, whose sum is σ = 63702422784. Its totient is φ = 3948672000.

The previous prime is 16423941557. The next prime is 16423941607. The reversal of 16423941600 is 614932461.

16423941600 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 3 + 9 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16423941607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10374409 + ... + 10375991.

It is an arithmetic number, because the mean of its divisors is an integer number (147459312).

Almost surely, 216423941600 is an apocalyptic number.

16423941600 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 16423941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31851211392).

16423941600 is an abundant number, since it is smaller than the sum of its proper divisors (47278481184).

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

16423941600 is a wasteful number, since it uses less digits than its factorization.

16423941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16423941600 in words is "sixteen billion, four hundred twenty-three million, nine hundred forty-one thousand, six hundred".