Search a number
-
+
9128312540160 = 2103511238926393
BaseRepresentation
bin1000010011010101100111…
…0100111000110000000000
31012022122202210111020020120
42010311121310320300000
52144024241002241120
631225253333340240
71631333044236522
oct204653164706000
935278683436216
109128312540160
1129aa3284aa750
121035165497680
13512a47288a78
14237b54011a12
1510c6ad317140
hex84d59d38c00

9128312540160 has 704 divisors, whose sum is σ = 33610060477440. Its totient is φ = 2092847595520.

The previous prime is 9128312540119. The next prime is 9128312540189. The reversal of 9128312540160 is 610452138219.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×91283125401602 (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 345847924 + ... + 345874316.

Almost surely, 29128312540160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9128312540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805030238720).

9128312540160 is an abundant number, since it is smaller than the sum of its proper divisors (24481747937280).

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

9128312540160 is a wasteful number, since it uses less digits than its factorization.

9128312540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26544 (or 26526 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

Adding to 9128312540160 its reverse (610452138219), we get a palindrome (9738764678379).

The spelling of 9128312540160 in words is "nine trillion, one hundred twenty-eight billion, three hundred twelve million, five hundred forty thousand, one hundred sixty".