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457500075253 = 1325106153017
BaseRepresentation
bin1101010100001010010…
…00010010010011110101
31121201212222002211200121
412222011020102103311
524443430004402003
6550101142211541
745024164322244
oct6520510222365
91551788084617
10457500075253
1116702a957a51
12747bba23bb1
13341b0194400
1418200a2495b
15bd79937cbd
hex6a852124f5

457500075253 has 12 divisors (see below), whose sum is σ = 495418536228. Its totient is φ = 422291525760.

The previous prime is 457500075203. The next prime is 457500075259. The reversal of 457500075253 is 352570005754.

It can be written as a sum of positive squares in 6 ways, for example, as 81434324689 + 376065750564 = 285367^2 + 613242^2 .

It is a de Polignac number, because none of the positive numbers 2k-457500075253 is a prime.

It is a super-3 number, since 3×4575000752533 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457500075259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8602801 + ... + 8655817.

It is an arithmetic number, because the mean of its divisors is an integer number (41284878019).

Almost surely, 2457500075253 is an apocalyptic number.

It is an amenable number.

457500075253 is a deficient number, since it is larger than the sum of its proper divisors (37918460975).

457500075253 is a wasteful number, since it uses less digits than its factorization.

457500075253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104104 (or 104091 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 43.

The spelling of 457500075253 in words is "four hundred fifty-seven billion, five hundred million, seventy-five thousand, two hundred fifty-three".

Divisors: 1 13 169 51061 53017 663793 689221 8629309 8959873 2707101037 35192313481 457500075253