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13683396096 = 29351091009
BaseRepresentation
bin11001011111001100…
…00000111000000000
31022022121201112200000
430233212000320000
5211010422133341
610141442400000
7663041643036
oct145746007000
938277645600
1013683396096
115891a14017
12279a660000
1313a0b496a6
1493b420556
155514448b6
hex32f980e00

13683396096 has 240 divisors, whose sum is σ = 41370529200. Its totient is φ = 4514807808.

The previous prime is 13683396061. The next prime is 13683396151. The reversal of 13683396096 is 69069338631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13560840 + ... + 13561848.

It is an arithmetic number, because the mean of its divisors is an integer number (172377205).

Almost surely, 213683396096 is an apocalyptic number.

13683396096 is a gapful number since it is divisible by the number (16) 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 13683396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685264600).

13683396096 is an abundant number, since it is smaller than the sum of its proper divisors (27687133104).

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

13683396096 is an equidigital number, since it uses as much as digits as its factorization.

13683396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 13683396096 in words is "thirteen billion, six hundred eighty-three million, three hundred ninety-six thousand, ninety-six".