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50457289129 = 1323724672
BaseRepresentation
bin101110111111011111…
…010010000110101001
311211020110021212101021
4232333133102012221
51311314031223004
635102454452441
73434243611132
oct567737220651
9154213255337
1050457289129
111a442908155
129942064121
1349b171c400
142629368c89
1514a4ac2d54
hexbbf7d21a9

50457289129 has 27 divisors (see below), whose sum is σ = 56274274917. Its totient is φ = 45220110624.

The previous prime is 50457289073. The next prime is 50457289133. The reversal of 50457289129 is 92198275405.

The square root of 50457289129 is 224627.

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 209583529 + 50247705600 = 14477^2 + 224160^2 .

It is not a de Polignac number, because 50457289129 - 227 = 50323071401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50457289139) 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, 108045354 + ... + 108045820.

Almost surely, 250457289129 is an apocalyptic number.

50457289129 is the 224627-th square number.

50457289129 is the 112314-th centered octagonal number.

It is an amenable number.

50457289129 is a deficient number, since it is larger than the sum of its proper divisors (5816985788).

50457289129 is an frugal number, since it uses more digits than its factorization.

50457289129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 50457289129 in words is "fifty billion, four hundred fifty-seven million, two hundred eighty-nine thousand, one hundred twenty-nine".

Divisors: 1 13 37 169 467 481 1369 6071 6253 17279 17797 78923 218089 224627 231361 639323 2835157 2920151 8069293 8311199 36857041 104900809 108045587 298563841 1363710517 3881329933 50457289129