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2313060765625 = 56236
BaseRepresentation
bin100001101010001101001…
…010100100111110111001
322012010102011220111221101
4201222031022210332321
5300344122024000000
64530334435411401
7326053542051331
oct41521512447671
98163364814841
102313060765625
11811a66556665
12314353453b61
1313a17521c25c
147dd4a4580c1
154027c0e2e6a
hex21a8d2a4fb9

2313060765625 has 49 divisors (see below), whose sum is σ = 3022711172083. Its totient is φ = 1769994325000.

The previous prime is 2313060765601. The next prime is 2313060765661. The reversal of 2313060765625 is 5265670603132.

The square root of 2313060765625 is 1520875.

The cubic root of 2313060765625 is 13225.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

2313060765625 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 3 ways, for example, as 2026463284521 + 286597481104 = 1423539^2 + 535348^2 .

It is not a de Polignac number, because 2313060765625 - 25 = 2313060765593 is a prime.

It is a super-2 number, since 2×23130607656252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 100567859364 + ... + 100567859386.

Almost surely, 22313060765625 is an apocalyptic number.

2313060765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2313060765625 is the 1520875-th square number.

2313060765625 is the 760438-th centered octagonal number.

It is an amenable number.

2313060765625 is a deficient number, since it is larger than the sum of its proper divisors (709650406458).

2313060765625 is an frugal number, since it uses more digits than its factorization.

2313060765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 2313060765625 in words is "two trillion, three hundred thirteen billion, sixty million, seven hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 23 25 115 125 529 575 625 2645 2875 3125 12167 13225 14375 15625 60835 66125 71875 279841 304175 330625 359375 1399205 1520875 1653125 6436343 6996025 7604375 8265625 32181715 34980125 38021875 148035889 160908575 174900625 190109375 740179445 804542875 874503125 3700897225 4022714375 4372515625 18504486125 20113571875 92522430625 100567859375 462612153125 2313060765625