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13495359900 = 2235211217191151
BaseRepresentation
bin11001001000110001…
…01101100110011100
31021211111220022111110
430210120231212130
5210114303004100
610111044222020
7655266444411
oct144430554634
937744808443
1013495359900
1157a5862700
12274769a910
131370bc0a79
14920474108
1553eba0250
hex32462d99c

13495359900 has 432 divisors, whose sum is σ = 47876935680. Its totient is φ = 2914560000.

The previous prime is 13495359893. The next prime is 13495359901. The reversal of 13495359900 is 995359431.

It is a self number, because there is not a number n which added to its sum of digits gives 13495359900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13495359901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11724325 + ... + 11725475.

It is an arithmetic number, because the mean of its divisors is an integer number (110826240).

Almost surely, 213495359900 is an apocalyptic number.

13495359900 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 13495359900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938467840).

13495359900 is an abundant number, since it is smaller than the sum of its proper divisors (34381575780).

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

13495359900 is a wasteful number, since it uses less digits than its factorization.

13495359900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 48.

The spelling of 13495359900 in words is "thirteen billion, four hundred ninety-five million, three hundred fifty-nine thousand, nine hundred".