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55752182161 = 1324124432
BaseRepresentation
bin110011111011000101…
…101100100110010001
312022220110120022010121
4303323011230212101
51403140024312121
641340122430241
74012406505064
oct637305544621
9168813508117
1055752182161
112170a720705
12a97b362381
1353466ab400
1429ac6708db
1516b487a141
hexcfb16c991

55752182161 has 27 divisors (see below), whose sum is σ = 62019073137. Its totient is φ = 50095007040.

The previous prime is 55752182153. The next prime is 55752182249. The reversal of 55752182161 is 16128125755.

The square root of 55752182161 is 236119.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37135217025 + 18616965136 = 192705^2 + 136444^2 .

It is not a de Polignac number, because 55752182161 - 23 = 55752182153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55752182111) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 125851206 + ... + 125851648.

Almost surely, 255752182161 is an apocalyptic number.

55752182161 is the 236119-th square number.

55752182161 is the 118060-th centered octagonal number.

It is an amenable number.

55752182161 is a deficient number, since it is larger than the sum of its proper divisors (6266890976).

55752182161 is an frugal number, since it uses more digits than its factorization.

55752182161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its digits is 168000, while the sum is 43.

The spelling of 55752182161 in words is "fifty-five billion, seven hundred fifty-two million, one hundred eighty-two thousand, one hundred sixty-one".

Divisors: 1 13 41 169 443 533 1681 5759 6929 18163 21853 74867 196249 236119 284089 744683 2551237 3069547 8046209 9680879 33166081 104600717 125851427 329894569 1359809321 4288629397 55752182161