Search a number
-
+
23163947664 = 243112132971149
BaseRepresentation
bin10101100100101011…
…011100101010010000
32012210100001110111120
4111210223130222100
5334414432311124
614350311442240
71450011210054
oct254453345220
965710043446
1023163947664
119907498800
1245a5686380
132252032710
14119a5a7c64
159088e6d79
hex564adca90

23163947664 has 480 divisors, whose sum is σ = 74807712000. Its totient is φ = 6126489600.

The previous prime is 23163947663. The next prime is 23163947687. The reversal of 23163947664 is 46674936132.

It is a happy number.

It is a super-3 number, since 3×231639476643 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23163947663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155462662 + ... + 155462810.

It is an arithmetic number, because the mean of its divisors is an integer number (155849400).

Almost surely, 223163947664 is an apocalyptic number.

23163947664 is a gapful number since it is divisible by the number (24) 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 23163947664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403856000).

23163947664 is an abundant number, since it is smaller than the sum of its proper divisors (51643764336).

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

23163947664 is a wasteful number, since it uses less digits than its factorization.

23163947664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 51.

The spelling of 23163947664 in words is "twenty-three billion, one hundred sixty-three million, nine hundred forty-seven thousand, six hundred sixty-four".