Search a number
-
+
109174524096 = 26311198332779
BaseRepresentation
bin110010110101101001…
…1110000100011000000
3101102210120010110022110
41211223103300203000
53242042134232341
6122053140535320
710613306100111
oct1455323604300
9342716113273
10109174524096
1142334199920
12191aa3b1540
13a3ab497321
1453d9706208
152c8e8dc216
hex196b4f08c0

109174524096 has 224 divisors, whose sum is σ = 335709158400. Its totient is φ = 30963409920.

The previous prime is 109174524031. The next prime is 109174524181. The reversal of 109174524096 is 690425471901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3314235 + ... + 3347013.

It is an arithmetic number, because the mean of its divisors is an integer number (1498701600).

Almost surely, 2109174524096 is an apocalyptic number.

109174524096 is a gapful number since it is divisible by the number (16) 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 109174524096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167854579200).

109174524096 is an abundant number, since it is smaller than the sum of its proper divisors (226534634304).

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

109174524096 is a wasteful number, since it uses less digits than its factorization.

109174524096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32907 (or 32897 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

Adding to 109174524096 its reverse (690425471901), we get a palindrome (799599995997).

The spelling of 109174524096 in words is "one hundred nine billion, one hundred seventy-four million, five hundred twenty-four thousand, ninety-six".