Search a number
-
+
123808307168 = 257133711310169
BaseRepresentation
bin111001101001110001…
…1001101011111100000
3102211120102011122211002
41303103203031133200
54012024411312133
6132513213411132
711642041150520
oct1632343153740
9384512148732
10123808307168
114856361a717
121bbb3199aa8
13b8a119c970
145dc703b680
1533494b2ce8
hex1cd38cd7e0

123808307168 has 192 divisors, whose sum is σ = 310862240640. Its totient is φ = 47228977152.

The previous prime is 123808307143. The next prime is 123808307173. The reversal of 123808307168 is 861703808321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12169988 + ... + 12180156.

It is an arithmetic number, because the mean of its divisors is an integer number (1619074170).

Almost surely, 2123808307168 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 123808307168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155431120320).

123808307168 is an abundant number, since it is smaller than the sum of its proper divisors (187053933472).

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

123808307168 is a wasteful number, since it uses less digits than its factorization.

123808307168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 123808307168 in words is "one hundred twenty-three billion, eight hundred eight million, three hundred seven thousand, one hundred sixty-eight".