Search a number
-
+
265706756664196 = 22232109232512
BaseRepresentation
bin111100011010100010101100…
…110110000110101110000100
31021211210022120201111012111211
4330122202230312012232010
5234311314414201223241
62341035555432341204
7106652452061613361
oct7432425466065604
91254708521435454
10265706756664196
117773166a1a3401
12259738bb244804
13b5350691261c3
1449883c0501468
1520ab9986ba781
hexf1a8acd86b84

265706756664196 has 81 divisors (see below), whose sum is σ = 490733969633733. Its totient is φ = 125872569108000.

The previous prime is 265706756664191. The next prime is 265706756664229. The reversal of 265706756664196 is 691466657607562.

The square root of 265706756664196 is 16300514.

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., 185196334646596 + 80510422017600 = 13608686^2 + 8972760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (265706756664191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81730775571 + ... + 81730778821.

Almost surely, 2265706756664196 is an apocalyptic number.

265706756664196 is the 16300514-th square number.

It is an amenable number.

265706756664196 is a deficient number, since it is larger than the sum of its proper divisors (225027212969537).

265706756664196 is an frugal number, since it uses more digits than its factorization.

265706756664196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 76.

The spelling of 265706756664196 in words is "two hundred sixty-five trillion, seven hundred six billion, seven hundred fifty-six million, six hundred sixty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 23 46 92 109 218 436 529 1058 2116 2507 3251 5014 6502 10028 11881 13004 23762 47524 57661 74773 115322 149546 230644 273263 299092 354359 546526 708718 1093052 1417436 1719779 3439558 6285049 6879116 8150257 10569001 12570098 16300514 21138002 25140196 32601028 38625131 42276004 77250262 154500524 187455911 243087023 374911822 486174046 749823644 888378013 972348092 1152021109 1776756026 2304042218 3553512052 4608084436 5591001529 11182003058 20432694299 22364006116 26496485507 40865388598 52992971014 81730777196 105985942028 125570300881 251140601762 502281203524 609419166661 1218838333322 2437676666644 2888116920263 5776233840526 11552467681052 66426689166049 132853378332098 265706756664196