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13757607420 = 22351931188049
BaseRepresentation
bin11001101000000010…
…00110110111111100
31022111210100212110120
430310001012313330
5211133421414140
610153053134540
7664632506424
oct146401066774
938453325416
1013757607420
11591a8a1097
1227bb48a450
1313b333100b
1494721b484
15557c031d0
hex334046dfc

13757607420 has 48 divisors (see below), whose sum is σ = 38720925600. Its totient is φ = 3649683456.

The previous prime is 13757607407. The next prime is 13757607463. The reversal of 13757607420 is 2470675731.

13757607420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 582445 + ... + 605604.

It is an arithmetic number, because the mean of its divisors is an integer number (806685950).

Almost surely, 213757607420 is an apocalyptic number.

13757607420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13757607420 is an abundant number, since it is smaller than the sum of its proper divisors (24963318180).

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

13757607420 is a wasteful number, since it uses less digits than its factorization.

13757607420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188254 (or 1188252 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 13757607420 in words is "thirteen billion, seven hundred fifty-seven million, six hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 193 386 579 772 965 1158 1930 2316 2895 3860 5790 11580 1188049 2376098 3564147 4752196 5940245 7128294 11880490 14256588 17820735 23760980 35641470 71282940 229293457 458586914 687880371 917173828 1146467285 1375760742 2292934570 2751521484 3439401855 4585869140 6878803710 13757607420