Search a number
-
+
246269213263089 = 36359216192
BaseRepresentation
bin110111111111101100000100…
…111110011100010011110001
31012021222002212220100101000000
4313333230010332130103301
5224234333322043404324
62231434303103220213
7102605235453022542
oct6777540476342361
91167862786311000
10246269213263089
1171518206730a45
12237547592a7669
13a755119661c33
1444b56ca3104c9
151d710626c19c9
hexdffb04f9c4f1

246269213263089 has 63 divisors (see below), whose sum is σ = 370495127268553. Its totient is φ = 163621025585064.

The previous prime is 246269213263079. The next prime is 246269213263121. The reversal of 246269213263089 is 980362312962642.

The square root of 246269213263089 is 15692967.

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

246269213263089 is a `hidden beast` number, since 2 + 46 + 269 + 2 + 1 + 3 + 26 + 308 + 9 = 666.

It is not a de Polignac number, because 246269213263089 - 217 = 246269213132017 is a prime.

It is a super-2 number, since 2×2462692132630892 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (246269213263049) 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 62 ways as a sum of consecutive naturals, for example, 152111928322 + ... + 152111929940.

Almost surely, 2246269213263089 is an apocalyptic number.

246269213263089 is the 15692967-th square number.

246269213263089 is the 7846484-th centered octagonal number.

It is an amenable number.

246269213263089 is a deficient number, since it is larger than the sum of its proper divisors (124225914005464).

246269213263089 is an frugal number, since it uses more digits than its factorization.

246269213263089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 246269213263089 in words is "two hundred forty-six trillion, two hundred sixty-nine billion, two hundred thirteen million, two hundred sixty-three thousand, eighty-nine".

Divisors: 1 3 9 27 81 243 359 729 1077 1619 3231 4857 9693 14571 29079 43713 87237 128881 131139 261711 386643 393417 581221 1159929 1180251 1743663 2621161 3479787 5230989 7863483 10439361 15692967 23590449 31318083 47078901 70771347 93954249 141236703 208658339 212314041 423710109 625975017 636942123 940996799 1877925051 1910826369 2822990397 5633775153 8468971191 16901325459 25406913573 50703976377 76220740719 152111929131 228662222157 337817850841 685986666471 1013453552523 3040360657569 9121081972707 27363245918121 82089737754363 246269213263089