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16683922944 = 2933131743127
BaseRepresentation
bin11111000100111000…
…00111011000000000
31121001201202002201000
433202130013120000
5233132041013234
611355310212000
71130305001523
oct174234073000
947051662630
1016683922944
117091704277
1232974b4000
13175b686970
14b43b22bba
15679a8e899
hex3e2707600

16683922944 has 640 divisors, whose sum is σ = 58076282880. Its totient is φ = 4682022912.

The previous prime is 16683922907. The next prime is 16683922949. The reversal of 16683922944 is 44922938661.

16683922944 is a `hidden beast` number, since 166 + 8 + 392 + 2 + 94 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16683922949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131369409 + ... + 131369535.

It is an arithmetic number, because the mean of its divisors is an integer number (90744192).

Almost surely, 216683922944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16683922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29038141440).

16683922944 is an abundant number, since it is smaller than the sum of its proper divisors (41392359936).

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

16683922944 is a wasteful number, since it uses less digits than its factorization.

16683922944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 16683922944 in words is "sixteen billion, six hundred eighty-three million, nine hundred twenty-two thousand, nine hundred forty-four".