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645305349481 = 13261210132
BaseRepresentation
bin10010110001111110011…
…00100011010101101001
32021200122102212021021221
421120333030203111221
541033041132140411
61212241005102041
764423160653012
oct11307714432551
92250572767257
10645305349481
11229744057191
12a5093557921
1348b0cbc0300
14233392ba009
1511bbc4c5071
hex963f323569

645305349481 has 27 divisors (see below), whose sum is σ = 711107491887. Its totient is φ = 585323069760.

The previous prime is 645305349431. The next prime is 645305349503. The reversal of 645305349481 is 184943503546.

The square root of 645305349481 is 803309.

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

It can be written as a sum of positive squares in 13 ways, for example, as 218190817881 + 427114531600 = 467109^2 + 653540^2 .

It is not a de Polignac number, because 645305349481 - 221 = 645303252329 is a prime.

It is a super-2 number, since 2×6453053494812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (645305349421) 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, 637023531 + ... + 637024543.

Almost surely, 2645305349481 is an apocalyptic number.

645305349481 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

645305349481 is the 803309-th square number.

645305349481 is the 401655-th centered octagonal number.

It is an amenable number.

645305349481 is a deficient number, since it is larger than the sum of its proper divisors (65802142406).

645305349481 is an frugal number, since it uses more digits than its factorization.

645305349481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 645305349481 in words is "six hundred forty-five billion, three hundred five million, three hundred forty-nine thousand, four hundred eighty-one".

Divisors: 1 13 61 169 793 1013 3721 10309 13169 48373 61793 171197 628849 803309 1026169 3769373 10443017 13340197 49001849 62596309 173422561 637024037 813752017 3818374849 10578776221 49638873037 645305349481