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16644970368 = 27331317193137
BaseRepresentation
bin11111000000001111…
…00001011110000000
31120222000110002211000
433200013201132000
5233042103022433
611351355252000
71126322625255
oct174007413600
946860402730
1016644970368
117071719664
12328644a000
131753598ac0
14b3c8a342c
15676448113
hex3e01e1780

16644970368 has 1024 divisors, whose sum is σ = 62512128000. Its totient is φ = 4299816960.

The previous prime is 16644970343. The next prime is 16644970379. The reversal of 16644970368 is 86307944661.

16644970368 is a `hidden beast` number, since 166 + 449 + 7 + 0 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 449864046 + ... + 449864082.

It is an arithmetic number, because the mean of its divisors is an integer number (61047000).

Almost surely, 216644970368 is an apocalyptic number.

16644970368 is a gapful number since it is divisible by the number (18) 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 16644970368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256064000).

16644970368 is an abundant number, since it is smaller than the sum of its proper divisors (45867157632).

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

16644970368 is a wasteful number, since it uses less digits than its factorization.

16644970368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 16644970368 in words is "sixteen billion, six hundred forty-four million, nine hundred seventy thousand, three hundred sixty-eight".