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13749359620 = 2251740439293
BaseRepresentation
bin11001100111000011…
…01001010000000100
31022111012211211121111
430303201221100010
5211124314001440
610152200254404
7664502425363
oct146341512004
938435754544
1013749359620
115916178427
1227b8771404
1313b1703b69
149460b17da
155571244ea
hex333869404

13749359620 has 24 divisors (see below), whose sum is σ = 30572106264. Its totient is φ = 5176229376.

The previous prime is 13749359567. The next prime is 13749359627. The reversal of 13749359620 is 2695394731.

It can be written as a sum of positive squares in 4 ways, for example, as 7662551296 + 6086808324 = 87536^2 + 78018^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13749359627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20219307 + ... + 20219986.

It is an arithmetic number, because the mean of its divisors is an integer number (1273837761).

Almost surely, 213749359620 is an apocalyptic number.

13749359620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13749359620 is an abundant number, since it is smaller than the sum of its proper divisors (16822746644).

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

13749359620 is a wasteful number, since it uses less digits than its factorization.

13749359620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40439319 (or 40439317 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 13749359620 in words is "thirteen billion, seven hundred forty-nine million, three hundred fifty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 40439293 80878586 161757172 202196465 404392930 687467981 808785860 1374935962 2749871924 3437339905 6874679810 13749359620