Search a number
-
+
104110866384 = 24372341457719
BaseRepresentation
bin110000011110101111…
…1011011111111010000
3100221201122221222210020
41200331133123333100
53201204340211014
6115454453103440
710343651522460
oct1407537337720
9327648858706
10104110866384
1140175962938
1218216627b80
139a823aa965
145078dd3ba0
152a950ae1a9
hex183d7dbfd0

104110866384 has 320 divisors, whose sum is σ = 329738895360. Its totient is φ = 27659427840.

The previous prime is 104110866281. The next prime is 104110866389. The reversal of 104110866384 is 483668011401.

104110866384 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1041108663843 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104110866389) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 144799177 + ... + 144799895.

It is an arithmetic number, because the mean of its divisors is an integer number (1030434048).

Almost surely, 2104110866384 is an apocalyptic number.

104110866384 is a gapful number since it is divisible by the number (14) 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 104110866384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164869447680).

104110866384 is an abundant number, since it is smaller than the sum of its proper divisors (225628028976).

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

104110866384 is a wasteful number, since it uses less digits than its factorization.

104110866384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

Adding to 104110866384 its reverse (483668011401), we get a palindrome (587778877785).

The spelling of 104110866384 in words is "one hundred four billion, one hundred ten million, eight hundred sixty-six thousand, three hundred eighty-four".