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263460748212676 = 2272292399792
BaseRepresentation
bin111011111001110110111100…
…010011110011100111000100
31021112211121020112100011120101
4323321312330103303213010
5234013020103020301201
62332200110304413444
7106331260642022200
oct7371667423634704
91245747215304511
10263460748212676
1176a46091a5a873
122567055b617284
13b40131b755871
14490b7d53d3b00
15206d343029d01
hexef9dbc4f39c4

263460748212676 has 81 divisors (see below), whose sum is σ = 555476598749709. Its totient is φ = 109015513752096.

The previous prime is 263460748212671. The next prime is 263460748212719. The reversal of 263460748212676 is 676212847064362.

The square root of 263460748212676 is 16231474.

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

It can be written as a sum of positive squares in only one way, i.e., 138152425638276 + 125308322574400 = 11753826^2 + 11194120^2 .

It is not an unprimeable number, because it can be changed into a prime (263460748212671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6589958455 + ... + 6589998433.

Almost surely, 2263460748212676 is an apocalyptic number.

263460748212676 is the 16231474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263460748212676

263460748212676 is an abundant number, since it is smaller than the sum of its proper divisors (292015850537033).

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

263460748212676 is an frugal number, since it uses more digits than its factorization.

263460748212676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80034 (or 40017 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 64.

The spelling of 263460748212676 in words is "two hundred sixty-three trillion, four hundred sixty billion, seven hundred forty-eight million, two hundred twelve thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2842 3364 5684 5887 11774 23548 39979 41209 79958 82418 159916 164836 279853 559706 1119412 1159391 1958971 2318782 3917942 4637564 7835884 8115737 16231474 32462948 33622339 56810159 67244678 113620318 134489356 227240636 235356373 470712746 941425492 1598320441 1647494611 3196640882 3294989222 6393281764 6589978444 11188243087 22376486174 44752972348 46351292789 78317701609 92702585578 156635403218 185405171156 313270806436 324459049523 648918099046 1297836198092 1344187490881 2271213346661 2688374981762 4542426693322 5376749963524 9084853386644 9409312436167 18818624872334 37637249744668 65865187053169 131730374106338 263460748212676