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13109091840 = 29355131621
BaseRepresentation
bin11000011010101110…
…01101111000000000
31020211121001212100000
430031113031320000
5203321411414330
610004445200000
7642566304435
oct141527157000
936747055300
1013109091840
1156178167a9
12265a260000
13130bb798a0
148c5045b8c
1551ad00560
hex30d5cde00

13109091840 has 480 divisors, whose sum is σ = 50734940256. Its totient is φ = 3224862720.

The previous prime is 13109091803. The next prime is 13109091847. The reversal of 13109091840 is 4819090131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13109091795 and 13109091804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13109091847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8086230 + ... + 8087850.

Almost surely, 213109091840 is an apocalyptic number.

13109091840 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 13109091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367470128).

13109091840 is an abundant number, since it is smaller than the sum of its proper divisors (37625848416).

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

13109091840 is an equidigital number, since it uses as much as digits as its factorization.

13109091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13109091840 in words is "thirteen billion, one hundred nine million, ninety-one thousand, eight hundred forty".