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13758939760 = 245846120327
BaseRepresentation
bin11001101000001100…
…01100001001110000
31022111212212120002111
430310012030021300
5211134242033020
610153141455104
7664650025666
oct146406141160
938455776074
1013758939760
1159206210a5
1227bba11494
1313b36a9597
14947486c36
15557db7d5a
hex33418c270

13758939760 has 40 divisors (see below), whose sum is σ = 31994889696. Its totient is φ = 5502654720.

The previous prime is 13758939739. The next prime is 13758939767. The reversal of 13758939760 is 6793985731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13758939695 and 13758939704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13758939767) 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, 666717 + ... + 687043.

Almost surely, 213758939760 is an apocalyptic number.

13758939760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13758939760 is an abundant number, since it is smaller than the sum of its proper divisors (18235949936).

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

13758939760 is a wasteful number, since it uses less digits than its factorization.

13758939760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28801 (or 28795 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 58.

The spelling of 13758939760 in words is "thirteen billion, seven hundred fifty-eight million, nine hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 8461 16922 20327 33844 40654 42305 67688 81308 84610 101635 135376 162616 169220 203270 325232 338440 406540 676880 813080 1626160 171986747 343973494 687946988 859933735 1375893976 1719867470 2751787952 3439734940 6879469880 13758939760