Search a number
-
+
16228959838686 = 23372311733114167
BaseRepresentation
bin1110110000101001100101…
…1000101110000111011110
32010110110210010002201112000
43230022121120232013132
54111343402204314221
654303251540023130
73263334516361200
oct354123130560736
963413703081460
1016228959838686
115197732817051
1219a1345991aa6
139094cc5402ba
144016b3244770
151d22449b2e26
hexec29962e1de

16228959838686 has 192 divisors, whose sum is σ = 43331085250560. Its totient is φ = 4484641412160.

The previous prime is 16228959838583. The next prime is 16228959838703. The reversal of 16228959838686 is 68683895982261.

16228959838686 is a `hidden beast` number, since 1 + 6 + 228 + 9 + 5 + 9 + 8 + 386 + 8 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142093975 + ... + 142208141.

It is an arithmetic number, because the mean of its divisors is an integer number (225682735680).

Almost surely, 216228959838686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16228959838686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665542625280).

16228959838686 is an abundant number, since it is smaller than the sum of its proper divisors (27102125411874).

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

16228959838686 is a wasteful number, since it uses less digits than its factorization.

16228959838686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115956 (or 115943 counting only the distinct ones).

The product of its digits is 4299816960, while the sum is 81.

The spelling of 16228959838686 in words is "sixteen trillion, two hundred twenty-eight billion, nine hundred fifty-nine million, eight hundred thirty-eight thousand, six hundred eighty-six".