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50682166129 = 7229211092
BaseRepresentation
bin101111001100111001…
…000111101101110001
311211211010102210122001
4233030321013231301
51312244113304004
635141050414001
73442644206200
oct571471075561
9154733383561
1050682166129
111a548841611
1299a5431301
134a191a691a
14264b185237
1514b96e31a4
hexbcce47b71

50682166129 has 27 divisors (see below), whose sum is σ = 61115010177. Its totient is φ = 41906040288.

The previous prime is 50682166111. The next prime is 50682166141. The reversal of 50682166129 is 92166128605.

The square root of 50682166129 is 225127.

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 17761692529 + 32920473600 = 133273^2 + 181440^2 .

It is not a de Polignac number, because 50682166129 - 29 = 50682165617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50682166429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45700227 + ... + 45701335.

Almost surely, 250682166129 is an apocalyptic number.

50682166129 is the 225127-th square number.

50682166129 is the 112564-th centered octagonal number.

It is an amenable number.

50682166129 is a deficient number, since it is larger than the sum of its proper divisors (10432844048).

50682166129 is an frugal number, since it uses more digits than its factorization.

50682166129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

It can be divided in two parts, 50682 and 166129, that added together give a triangular number (216811 = T658).

The spelling of 50682166129 in words is "fifty billion, six hundred eighty-two million, one hundred sixty-six thousand, one hundred twenty-nine".

Divisors: 1 7 29 49 203 841 1109 1421 5887 7763 32161 41209 54341 225127 932669 1229881 1575889 6528683 8609167 35666549 45700781 60264169 249665843 1034329921 1747660901 7240309447 50682166129