Search a number
-
+
16506054312 = 233112371491031
BaseRepresentation
bin11110101111101011…
…00110011010101000
31120121100001102210220
433113311212122220
5232301022214222
611325514010040
71123015101216
oct172765463250
946540042726
1016506054312
117000267a00
123247a16920
13173087ac57
14b28261cb6
15669157b5c
hex3d7d666a8

16506054312 has 192 divisors, whose sum is σ = 46941552000. Its totient is φ = 4829299200.

The previous prime is 16506054289. The next prime is 16506054329. The reversal of 16506054312 is 21345060561.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16009237 + ... + 16010267.

It is an arithmetic number, because the mean of its divisors is an integer number (244487250).

Almost surely, 216506054312 is an apocalyptic number.

16506054312 is a gapful number since it is divisible by the number (12) 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 16506054312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470776000).

16506054312 is an abundant number, since it is smaller than the sum of its proper divisors (30435497688).

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

16506054312 is a wasteful number, since it uses less digits than its factorization.

16506054312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 16506054312 in words is "sixteen billion, five hundred six million, fifty-four thousand, three hundred twelve".