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16083745920 = 2732511247491
BaseRepresentation
bin11101111101010101…
…00111110010000000
31112111220101221121100
432332222213302000
5230414414332140
611215550254400
71106366404344
oct167652476200
945456357540
1016083745920
116903945400
12314a4b7400
131694228628
14ac8131624
15642039530
hex3beaa7c80

16083745920 has 576 divisors, whose sum is σ = 62473057920. Its totient is φ = 3808358400.

The previous prime is 16083745907. The next prime is 16083745939. The reversal of 16083745920 is 2954738061.

16083745920 is a `hidden beast` number, since 1 + 608 + 37 + 4 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32756875 + ... + 32757365.

It is an arithmetic number, because the mean of its divisors is an integer number (108460170).

It is a 1-persistent number, because it is pandigital, but 2⋅16083745920 = 32167491840 is not.

Almost surely, 216083745920 is an apocalyptic number.

16083745920 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 16083745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31236528960).

16083745920 is an abundant number, since it is smaller than the sum of its proper divisors (46389312000).

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

16083745920 is a wasteful number, since it uses less digits than its factorization.

16083745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16083745920 in words is "sixteen billion, eighty-three million, seven hundred forty-five thousand, nine hundred twenty".