Search a number
-
+
103969389888 = 263371317192389
BaseRepresentation
bin110000011010100001…
…1101111110101000000
3100221100210202020112000
41200311003233311000
53200412130434023
6115432440504000
710340313142530
oct1406503576500
9327323666460
10103969389888
1140103012511
121819717b000
139a5bca4560
1450642c74c0
152a87965243
hex18350efd40

103969389888 has 1792 divisors, whose sum is σ = 442423296000. Its totient is φ = 23123460096.

The previous prime is 103969389877. The next prime is 103969389919. The reversal of 103969389888 is 888983969301.

103969389888 is a `hidden beast` number, since 103 + 9 + 69 + 389 + 8 + 88 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1168195348 + ... + 1168195436.

It is an arithmetic number, because the mean of its divisors is an integer number (246888000).

Almost surely, 2103969389888 is an apocalyptic number.

103969389888 is a gapful number since it is divisible by the number (18) 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 103969389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648000).

103969389888 is an abundant number, since it is smaller than the sum of its proper divisors (338453906112).

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

103969389888 is a wasteful number, since it uses less digits than its factorization.

103969389888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 103969389888 in words is "one hundred three billion, nine hundred sixty-nine million, three hundred eighty-nine thousand, eight hundred eighty-eight".