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415064332053 = 357255795429
BaseRepresentation
bin1100000101000111100…
…00110001011100010101
31110200100112202201200000
412002203300301130111
523300022432111203
6514402233041513
741662452416310
oct6024360613425
91420315681600
10415064332053
11150033aa3aa8
1268538256299
13301a95c00a7
1416136b71977
15abe41b94a3
hex60a3c31715

415064332053 has 48 divisors (see below), whose sum is σ = 710848145280. Its totient is φ = 237084376896.

The previous prime is 415064332051. The next prime is 415064332079. The reversal of 415064332053 is 350233460514.

415064332053 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 643 + 3 + 2 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 415064332053 - 21 = 415064332051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415064331999 and 415064332017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415064332051) 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 47 ways as a sum of consecutive naturals, for example, 4301743 + ... + 4397171.

It is an arithmetic number, because the mean of its divisors is an integer number (14809336360).

Almost surely, 2415064332053 is an apocalyptic number.

It is an amenable number.

415064332053 is a deficient number, since it is larger than the sum of its proper divisors (295783813227).

415064332053 is an equidigital number, since it uses as much as digits as its factorization.

415064332053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98008 (or 97996 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 415064332053 its reverse (350233460514), we get a palindrome (765297792567).

The spelling of 415064332053 in words is "four hundred fifteen billion, sixty-four million, three hundred thirty-two thousand, fifty-three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 2557 7671 17899 23013 53697 69039 95429 161091 207117 286287 483273 621351 668003 858861 1449819 2004009 2576583 4349457 6012027 7729749 18036081 23189247 54108243 162324729 244011953 732035859 1708083671 2196107577 5124251013 6588322731 15372753039 19764968193 46118259117 59294904579 138354777351 415064332053