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66552132529 = 107224112
BaseRepresentation
bin111101111110110100…
…001111001110110001
320100210010120121212101
4331332310033032301
52042244321220104
650323523100401
74544136535621
oct757664171661
9210703517771
1066552132529
1126251a42223
1210a94211701
136378031c9c
143314b48881
151ae7aa05a4
hexf7ed0f3b1

66552132529 has 9 divisors (see below), whose sum is σ = 67207803481. Its totient is φ = 65902804420.

The previous prime is 66552132499. The next prime is 66552132553. The reversal of 66552132529 is 92523125566.

The square root of 66552132529 is 257977.

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

It is not a de Polignac number, because 66552132529 - 213 = 66552124337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66552132589) 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 8 ways as a sum of consecutive naturals, for example, 27602334 + ... + 27604744.

Almost surely, 266552132529 is an apocalyptic number.

66552132529 is the 257977-th square number.

66552132529 is the 128989-th centered octagonal number.

It is an amenable number.

66552132529 is a deficient number, since it is larger than the sum of its proper divisors (655670952).

66552132529 is an frugal number, since it uses more digits than its factorization.

66552132529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 2518 counting only the distinct ones).

The product of its digits is 972000, while the sum is 46.

The spelling of 66552132529 in words is "sixty-six billion, five hundred fifty-two million, one hundred thirty-two thousand, five hundred twenty-nine".

Divisors: 1 107 2411 11449 257977 5812921 27603539 621982547 66552132529