Search a number
-
+
66106246533246 = 23213726807074831
BaseRepresentation
bin11110000011111100011110…
…10101111001000001111110
322200001200202222112011211100
433001332033111321001332
532131041043103030441
6352332442421233530
716632006262166403
oct1701761725710176
9280050688464740
1066106246533246
111a077557866527
1274b7a002628a6
132ab6a3b8b422a
1412477b900c2aa
15799896359cb6
hex3c1f8f57907e

66106246533246 has 24 divisors (see below), whose sum is σ = 144275676745824. Its totient is φ = 21874573061280.

The previous prime is 66106246533211. The next prime is 66106246533247. The reversal of 66106246533246 is 64233564260166.

66106246533246 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 62 + 4 + 6 + 533 + 2 + 46 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66106246533192 and 66106246533201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66106246533247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13403534950 + ... + 13403539881.

It is an arithmetic number, because the mean of its divisors is an integer number (6011486531076).

Almost surely, 266106246533246 is an apocalyptic number.

66106246533246 is an abundant number, since it is smaller than the sum of its proper divisors (78169430212578).

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

66106246533246 is a wasteful number, since it uses less digits than its factorization.

66106246533246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26807074976 (or 26807074973 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 66106246533246 in words is "sixty-six trillion, one hundred six billion, two hundred forty-six million, five hundred thirty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 26807074831 53614149662 80421224493 160842448986 241263673479 482527346958 3672569251847 7345138503694 11017707755541 22035415511082 33053123266623 66106246533246