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9109742040 = 2332573899293
BaseRepresentation
bin10000111101111101…
…11010000111011000
3212111212120211210100
420132332322013120
5122124043221130
64103541215400
7441514346460
oct103676720730
925455524710
109109742040
113955237033
121922a01560
13b22425109
14625c20ba0
15384b57c60
hex21efba1d8

9109742040 has 192 divisors, whose sum is σ = 33926817600. Its totient is φ = 2076650496.

The previous prime is 9109742039. The next prime is 9109742041. The reversal of 9109742040 is 402479019.

It is an interprime number because it is at equal distance from previous prime (9109742039) and next prime (9109742041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9109741986 and 9109742004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9109742041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 975634 + ... + 984926.

It is an arithmetic number, because the mean of its divisors is an integer number (176702175).

Almost surely, 29109742040 is an apocalyptic number.

9109742040 is a gapful number since it is divisible by the number (90) 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 9109742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963408800).

9109742040 is an abundant number, since it is smaller than the sum of its proper divisors (24817075560).

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

9109742040 is a wasteful number, since it uses less digits than its factorization.

9109742040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9109742040 is about 95444.9686468595. The cubic root of 9109742040 is about 2088.5042326068.

The spelling of 9109742040 in words is "nine billion, one hundred nine million, seven hundred forty-two thousand, forty".