Search a number
-
+
16826263020 = 223257711271481
BaseRepresentation
bin11111010101110110…
…00110010111101100
31121102122120201120200
433222323012113230
5233430010404040
611421353113500
71133653606260
oct175273062754
947378521520
1016826263020
117154a944a6
1233170b8890
131782003168
14b589b60a0
15687309630
hex3eaec65ec

16826263020 has 288 divisors, whose sum is σ = 59658633216. Its totient is φ = 3759436800.

The previous prime is 16826263007. The next prime is 16826263039. The reversal of 16826263020 is 2036262861.

16826263020 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 626 + 3 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11360680 + ... + 11362160.

It is an arithmetic number, because the mean of its divisors is an integer number (207148032).

Almost surely, 216826263020 is an apocalyptic number.

16826263020 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 16826263020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29829316608).

16826263020 is an abundant number, since it is smaller than the sum of its proper divisors (42832370196).

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

16826263020 is a wasteful number, since it uses less digits than its factorization.

16826263020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16826263020 in words is "sixteen billion, eight hundred twenty-six million, two hundred sixty-three thousand, twenty".