Search a number
-
+
16126910784 = 263510110267
BaseRepresentation
bin11110000010011110…
…10010000101000000
31112121220121221200000
433001033102011000
5231011442121114
611224131400000
71110432323415
oct170117220500
945556557600
1016126910784
116926247846
123160a53000
1316a015c87a
14acdb6a10c
15645c13e09
hex3c13d2140

16126910784 has 168 divisors, whose sum is σ = 48416248608. Its totient is φ = 5321894400.

The previous prime is 16126910783. The next prime is 16126910831. The reversal of 16126910784 is 48701962161.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16126910783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1565619 + ... + 1575885.

It is an arithmetic number, because the mean of its divisors is an integer number (288191956).

Almost surely, 216126910784 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 16126910784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24208124304).

16126910784 is an abundant number, since it is smaller than the sum of its proper divisors (32289337824).

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

16126910784 is a wasteful number, since it uses less digits than its factorization.

16126910784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16126910784 in words is "sixteen billion, one hundred twenty-six million, nine hundred ten thousand, seven hundred eighty-four".