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13132845713104 = 2413109579253957
BaseRepresentation
bin1011111100011011101010…
…0110101000011011010000
31201111111011121010222101221
42333012322212220123100
53210132032000304404
643533051313134424
72523550105465405
oct277067246503320
951444147128357
1013132845713104
11420367703a237
12158129755a414
137435642a4250
143358c14142ac
1517b937264954
hexbf1ba9a86d0

13132845713104 has 40 divisors (see below), whose sum is σ = 27653583954920. Its totient is φ = 6005705015808.

The previous prime is 13132845713093. The next prime is 13132845713131. The reversal of 13132845713104 is 40131754823131.

It can be written as a sum of positive squares in 4 ways, for example, as 10049661504 + 13122796051600 = 100248^2 + 3622540^2 .

It is a super-2 number, since 2×131328457131042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289604307 + ... + 289649650.

It is an arithmetic number, because the mean of its divisors is an integer number (691339598873).

Almost surely, 213132845713104 is an apocalyptic number.

It is an amenable number.

13132845713104 is an abundant number, since it is smaller than the sum of its proper divisors (14520738241816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13132845713104 is a wasteful number, since it uses less digits than its factorization.

13132845713104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579254087 (or 579254081 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 13132845713104 in words is "thirteen trillion, one hundred thirty-two billion, eight hundred forty-five million, seven hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1417 1744 2834 5668 11336 22672 579253957 1158507914 2317015828 4634031656 7530301441 9268063312 15060602882 30121205764 60242411528 63138681313 120484823056 126277362626 252554725252 505109450504 820802857069 1010218901008 1641605714138 3283211428276 6566422856552 13132845713104