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16668577640 = 235112131973191
BaseRepresentation
bin11111000011000011…
…00100111101101000
31121000122212110220102
433201201210331220
5233114123441030
611354001244532
71130030400161
oct174141447550
947018773812
1016668577640
117083a83100
123292333748
1317584430c0
14b41a8a768
1567855cc45
hex3e1864f68

16668577640 has 384 divisors, whose sum is σ = 47619532800. Its totient is φ = 5200588800.

The previous prime is 16668577637. The next prime is 16668577693. The reversal of 16668577640 is 4677586661.

16668577640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87269945 + ... + 87270135.

It is an arithmetic number, because the mean of its divisors is an integer number (124009200).

Almost surely, 216668577640 is an apocalyptic number.

16668577640 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 16668577640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809766400).

16668577640 is an abundant number, since it is smaller than the sum of its proper divisors (30950955160).

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

16668577640 is a wasteful number, since it uses less digits than its factorization.

16668577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 16668577640 in words is "sixteen billion, six hundred sixty-eight million, five hundred seventy-seven thousand, six hundred forty".