Search a number
-
+
10728581145 = 35739797791
BaseRepresentation
bin10011111110111100…
…10010100000011001
31000200200201101120020
421333132102200121
5133433004044040
64532330421053
7526602302142
oct117736224031
930620641506
1010728581145
114606005897
1220b4b91789
13101c925a89
1473ac1aac9
1542bd28cd0
hex27f792819

10728581145 has 16 divisors (see below), whose sum is σ = 17400878592. Its totient is φ = 5643527040.

The previous prime is 10728581137. The next prime is 10728581147. The reversal of 10728581145 is 54118582701.

It is not a de Polignac number, because 10728581145 - 23 = 10728581137 is a prime.

It is a super-3 number, since 3×107285811453 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10728581097 and 10728581106.

It is not an unprimeable number, because it can be changed into a prime (10728581147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4897801 + ... + 4899990.

It is an arithmetic number, because the mean of its divisors is an integer number (1087554912).

Almost surely, 210728581145 is an apocalyptic number.

10728581145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10728581145 is a deficient number, since it is larger than the sum of its proper divisors (6672297447).

10728581145 is an equidigital number, since it uses as much as digits as its factorization.

10728581145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9797872.

The product of its (nonzero) digits is 89600, while the sum is 42.

The spelling of 10728581145 in words is "ten billion, seven hundred twenty-eight million, five hundred eighty-one thousand, one hundred forty-five".

Divisors: 1 3 5 15 73 219 365 1095 9797791 29393373 48988955 146966865 715238743 2145716229 3576193715 10728581145