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895451516089 = 1328328772
BaseRepresentation
bin11010000011111010001…
…00011100110010111001
310011121022120000011022021
431001331010130302321
5104132341042003324
61523210441354441
7121460060205334
oct15017504346271
93147276004267
10895451516089
11315839044589
12125664a98a21
1366596338300
14314a929961b
151845d062ae4
hexd07d11ccb9

895451516089 has 27 divisors (see below), whose sum is σ = 982574362413. Its totient is φ = 815680805472.

The previous prime is 895451516027. The next prime is 895451516101. The reversal of 895451516089 is 980615154598.

The square root of 895451516089 is 946283.

It is a perfect power (a square), and thus also a powerful number.

895451516089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 157076089 + 895294440000 = 12533^2 + 946200^2 .

It is not a de Polignac number, because 895451516089 - 213 = 895451507897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (895451516009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1021038919 + ... + 1021039795.

Almost surely, 2895451516089 is an apocalyptic number.

895451516089 is the 946283-rd square number.

895451516089 is the 473142-nd centered octagonal number.

It is an amenable number.

895451516089 is a deficient number, since it is larger than the sum of its proper divisors (87122846324).

895451516089 is an frugal number, since it uses more digits than its factorization.

895451516089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 61.

The spelling of 895451516089 in words is "eight hundred ninety-five billion, four hundred fifty-one million, five hundred sixteen thousand, eighty-nine".

Divisors: 1 13 83 169 877 1079 6889 11401 14027 72791 89557 148213 769129 946283 1164241 6041653 9998677 12301679 63837707 78541489 129982801 829890191 1021039357 5298529681 10788572483 68880885853 895451516089