Search a number
-
+
16671534048 = 253513831987
BaseRepresentation
bin11111000011011001…
…10110101111100000
31121000212102200100000
433201230312233200
5233120403042143
611354144500000
71130064462351
oct174154665740
947025380300
1016671534048
117085712314
12329331a600
131758c39960
14b42219d28
15678943bd3
hex3e1b36be0

16671534048 has 288 divisors, whose sum is σ = 53612447616. Its totient is φ = 5065348608.

The previous prime is 16671534013. The next prime is 16671534049. The reversal of 16671534048 is 84043517661.

16671534048 is a `hidden beast` number, since 1 + 6 + 6 + 71 + 534 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16671533994 and 16671534012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16671534049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8389311 + ... + 8391297.

It is an arithmetic number, because the mean of its divisors is an integer number (186154332).

Almost surely, 216671534048 is an apocalyptic number.

16671534048 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 16671534048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26806223808).

16671534048 is an abundant number, since it is smaller than the sum of its proper divisors (36940913568).

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

16671534048 is a wasteful number, since it uses less digits than its factorization.

16671534048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16671534048 in words is "sixteen billion, six hundred seventy-one million, five hundred thirty-four thousand, forty-eight".