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13898786000 = 245311279727
BaseRepresentation
bin11001111000110111…
…01010010011010000
31022212122000111001212
430330123222103100
5211431042123000
610215055115252
71001265505661
oct147433522320
938778014055
1013898786000
115992558700
12283a812b28
131406661938
1495bc8b368
155652ddc35
hex33c6ea4d0

13898786000 has 240 divisors, whose sum is σ = 37459269120. Its totient is φ = 4983264000.

The previous prime is 13898785991. The next prime is 13898786039. The reversal of 13898786000 is 68789831.

It is a happy number.

13898786000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 13898786000.

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 47 ways as a sum of consecutive naturals, for example, 19117637 + ... + 19118363.

It is an arithmetic number, because the mean of its divisors is an integer number (156080288).

Almost surely, 213898786000 is an apocalyptic number.

13898786000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13898786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729634560).

13898786000 is an abundant number, since it is smaller than the sum of its proper divisors (23560483120).

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

13898786000 is a wasteful number, since it uses less digits than its factorization.

13898786000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 13898786000 in words is "thirteen billion, eight hundred ninety-eight million, seven hundred eighty-six thousand".