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13036142804625 = 34531287520277
BaseRepresentation
bin1011110110110011011010…
…1010010011111010010001
31201011020120012120020110000
42331230312222103322101
53202041010024222000
643420415450200213
72513554525356543
oct275546652237221
951136505506400
1013036142804625
114176662841866
1215665a9a23069
137373c2899045
14330d4a213693
15179177706000
hexbdb36a93e91

13036142804625 has 40 divisors (see below), whose sum is σ = 24303232767528. Its totient is φ = 6952609490400.

The previous prime is 13036142804609. The next prime is 13036142804677. The reversal of 13036142804625 is 52640824163031.

13036142804625 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 6 + 14 + 2 + 8 + 0 + 4 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1450695744 + 13034692108881 = 38088^2 + 3610359^2 .

It is not a de Polignac number, because 13036142804625 - 24 = 13036142804609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 643750014 + ... + 643770263.

Almost surely, 213036142804625 is an apocalyptic number.

13036142804625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13036142804625 is a deficient number, since it is larger than the sum of its proper divisors (11267089962903).

13036142804625 is an equidigital number, since it uses as much as digits as its factorization.

13036142804625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287520304 (or 1287520285 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 13036142804625 its reverse (52640824163031), we get a palindrome (65676966967656).

The spelling of 13036142804625 in words is "thirteen trillion, thirty-six billion, one hundred forty-two million, eight hundred four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 10125 1287520277 3862560831 6437601385 11587682493 19312804155 32188006925 34763047479 57938412465 96564020775 104289142437 160940034625 173815237395 289692062325 482820103875 521445712185 869076186975 1448460311625 2607228560925 4345380934875 13036142804625