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16049940480 = 21133578293
BaseRepresentation
bin11101111001010011…
…01010100000000000
31112102112210110021000
432330221222200000
5230332241043410
611212341532000
71105506146250
oct167451524000
945375713230
1016049940480
116896855922
12313b114000
13168a220502
14ac3851960
1563e0acdc0
hex3bca6a800

16049940480 has 384 divisors, whose sum is σ = 65210745600. Its totient is φ = 3668115456.

The previous prime is 16049940461. The next prime is 16049940481. The reversal of 16049940480 is 8404994061.

16049940480 is a `hidden beast` number, since 160 + 4 + 9 + 9 + 4 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (16049940481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1931214 + ... + 1939506.

It is an arithmetic number, because the mean of its divisors is an integer number (169819650).

Almost surely, 216049940480 is an apocalyptic number.

16049940480 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 16049940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32605372800).

16049940480 is an abundant number, since it is smaller than the sum of its proper divisors (49160805120).

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

16049940480 is an equidigital number, since it uses as much as digits as its factorization.

16049940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8336 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16049940480 in words is "sixteen billion, forty-nine million, nine hundred forty thousand, four hundred eighty".