16426264100 has 72 divisors (see below), whose sum is σ = 36971461800. Its totient is φ = 6327193600.

The previous prime is 16426264091. The next prime is 16426264193. The reversal of 16426264100 is 146262461.

It can be written as a sum of positive squares in 12 ways, for example, as 2920105444 + 13506158656 = 54038^2 + 116216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120820 + ... + 1135380.

It is an arithmetic number, because the mean of its divisors is an integer number (513492525).

Almost surely, 2^16426264100 is an apocalyptic number.

16426264100 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 16426264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485730900).

16426264100 is an abundant number, since it is smaller than the sum of its proper divisors (20545197700).

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

16426264100 is a wasteful number, since it uses less digits than its factorization.

16426264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14993 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 16426264100 in words is "sixteen billion, four hundred twenty-six million, two hundred sixty-four thousand, one hundred".