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13970000000 = 275711127
BaseRepresentation
bin11010000001010110…
…10100100010000000
31100001121000112022102
431000223110202000
5212102310000000
610230121325532
71003122016655
oct150053244200
940047015272
1013970000000
115a19778850
12285a6368a8
131418336bb8
14967507c2c
1556b6a93d5
hex340ad4880

13970000000 has 256 divisors, whose sum is σ = 38249902080. Its totient is φ = 5040000000.

The previous prime is 13969999957. The next prime is 13970000027. The reversal of 13970000000 is 7931.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109999937 + ... + 110000063.

It is an arithmetic number, because the mean of its divisors is an integer number (149413680).

Almost surely, 213970000000 is an apocalyptic number.

13970000000 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 13970000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124951040).

13970000000 is an abundant number, since it is smaller than the sum of its proper divisors (24279902080).

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

13970000000 is an frugal number, since it uses more digits than its factorization.

13970000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 20.

Adding to 13970000000 its reverse (7931), we get a palindrome (13970007931).

The spelling of 13970000000 in words is "thirteen billion, nine hundred seventy million", and thus it is an aban number.