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265942364416 = 2816721932
BaseRepresentation
bin1111011110101101100…
…1100111000100000000
3221102102222110212202121
43313223121213010000
513324122221130131
6322101111454024
725133204541211
oct3675331470400
9842388425677
10265942364416
11a2870593633
124365b687314
131c102c15411
14cc2bc5d408
156db7727911
hex3deb667100

265942364416 has 81 divisors (see below), whose sum is σ = 536825046261. Its totient is φ = 131490103296.

The previous prime is 265942364399. The next prime is 265942364491. The reversal of 265942364416 is 614463249562.

It is a happy number.

The square root of 265942364416 is 515696.

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

265942364416 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 only one way, i.e., 64434745600 + 201507618816 = 253840^2 + 448896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1377939616 + ... + 1377939808.

Almost surely, 2265942364416 is an apocalyptic number.

265942364416 is the 515696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265942364416

265942364416 is an abundant number, since it is smaller than the sum of its proper divisors (270882681845).

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

265942364416 is an frugal number, since it uses more digits than its factorization.

265942364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 362 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 52.

The spelling of 265942364416 in words is "two hundred sixty-five billion, nine hundred forty-two million, three hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 167 193 256 334 386 668 772 1336 1544 2672 3088 5344 6176 10688 12352 21376 24704 27889 32231 37249 42752 49408 55778 64462 74498 111556 128924 148996 223112 257848 297992 446224 515696 595984 892448 1031392 1191968 1784896 2062784 2383936 3569792 4125568 4767872 5382577 6220583 7139584 8251136 9535744 10765154 12441166 21530308 24882332 43060616 49764664 86121232 99529328 172242464 199058656 344484928 398117312 688969856 796234624 1038837361 1377939712 1592469248 2077674722 4155349444 8310698888 16621397776 33242795552 66485591104 132971182208 265942364416