Search a number
-
+
109387072080 = 243551113192109
BaseRepresentation
bin110010111011111111…
…0100100001001010000
3101110100101002000100000
41211313332210021100
53243011042301310
6122130212330000
710621466525406
oct1456776441120
9343311060300
10109387072080
1142433172310
1219249613900
13a413525b70
145419a33476
152ca33c44c0
hex1977fa4250

109387072080 has 1440 divisors, whose sum is σ = 476695739520. Its totient is φ = 22977146880.

The previous prime is 109387072063. The next prime is 109387072103. The reversal of 109387072080 is 80270783901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1003551066 + ... + 1003551174.

It is an arithmetic number, because the mean of its divisors is an integer number (331038708).

Almost surely, 2109387072080 is an apocalyptic number.

109387072080 is a gapful number since it is divisible by the number (10) 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 109387072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238347869760).

109387072080 is an abundant number, since it is smaller than the sum of its proper divisors (367308667440).

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

109387072080 is a wasteful number, since it uses less digits than its factorization.

109387072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 109387072080 in words is "one hundred nine billion, three hundred eighty-seven million, seventy-two thousand, eighty".