Search a number
-
+
18182317164 = 2231134753457
BaseRepresentation
bin10000111011110000…
…000010010001101100
31201221011020102011020
4100323300002101230
5244214133122124
612204114054140
71212401101014
oct207360022154
951834212136
1018182317164
117790498000
12363527a350
131939c3606b
14c46b28c44
157163bd379
hex43bc0246c

18182317164 has 192 divisors, whose sum is σ = 48663078912. Its totient is φ = 5279239680.

The previous prime is 18182317151. The next prime is 18182317169. The reversal of 18182317164 is 46171328181.

It is a super-3 number, since 3×181823171643 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18182317169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39786024 + ... + 39786480.

It is an arithmetic number, because the mean of its divisors is an integer number (253453536).

Almost surely, 218182317164 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 18182317164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24331539456).

18182317164 is an abundant number, since it is smaller than the sum of its proper divisors (30480761748).

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

18182317164 is a wasteful number, since it uses less digits than its factorization.

18182317164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 573 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The spelling of 18182317164 in words is "eighteen billion, one hundred eighty-two million, three hundred seventeen thousand, one hundred sixty-four".