Search a number
-
+
16453180128 = 25371137431399
BaseRepresentation
bin11110101001010111…
…11001101011100000
31120110122120011001210
433110223321223200
5232144003231003
611320344430120
71121503503120
oct172453715340
946418504053
1016453180128
116a83433830
123232178340
131722927558
14b2121ac80
156646b1503
hex3d4af9ae0

16453180128 has 384 divisors, whose sum is σ = 56628633600. Its totient is φ = 4058449920.

The previous prime is 16453180109. The next prime is 16453180129. The reversal of 16453180128 is 82108135461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16453180129) 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 63 ways as a sum of consecutive naturals, for example, 11759973 + ... + 11761371.

It is an arithmetic number, because the mean of its divisors is an integer number (147470400).

Almost surely, 216453180128 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 16453180128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28314316800).

16453180128 is an abundant number, since it is smaller than the sum of its proper divisors (40175453472).

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

16453180128 is a wasteful number, since it uses less digits than its factorization.

16453180128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 16453180128 in words is "sixteen billion, four hundred fifty-three million, one hundred eighty thousand, one hundred twenty-eight".