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16343703936 = 273371931237
BaseRepresentation
bin11110011100010100…
…10010000110000000
31120012000120011222000
433032022102012000
5231432442011221
611301434144000
71116004122420
oct171612220600
946160504860
1016343703936
116a2765a73a
123201582000
131706046741
14b10880480
15659c88e26
hex3ce292180

16343703936 has 768 divisors, whose sum is σ = 61581888000. Its totient is φ = 4165447680.

The previous prime is 16343703889. The next prime is 16343703949. The reversal of 16343703936 is 63930734361.

16343703936 is a `hidden beast` number, since 1 + 634 + 3 + 7 + 0 + 3 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16343703891 and 16343703900.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 441721710 + ... + 441721746.

It is an arithmetic number, because the mean of its divisors is an integer number (80184750).

Almost surely, 216343703936 is an apocalyptic number.

16343703936 is a gapful number since it is divisible by the number (16) 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 16343703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30790944000).

16343703936 is an abundant number, since it is smaller than the sum of its proper divisors (45238184064).

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

16343703936 is a wasteful number, since it uses less digits than its factorization.

16343703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 16343703936 in words is "sixteen billion, three hundred forty-three million, seven hundred three thousand, nine hundred thirty-six".