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13869183744 = 283313231383
BaseRepresentation
bin11001110101010101…
…01111001100000000
31022210120022112102000
430322222233030000
5211401002334434
610212120424000
71000456055013
oct147252571400
938716275360
1013869183744
11597787a029
122830918000
131400498a00
14957d8337a
155628e2b99
hex33aaaf300

13869183744 has 432 divisors, whose sum is σ = 45963509760. Its totient is φ = 4118999040.

The previous prime is 13869183743. The next prime is 13869183767. The reversal of 13869183744 is 44738196831.

It is a tau number, because it is divible by the number of its divisors (432).

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

Its product of digits (3483648) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13869183743) 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, 36211777 + ... + 36212159.

Almost surely, 213869183744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13869183744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22981754880).

13869183744 is an abundant number, since it is smaller than the sum of its proper divisors (32094326016).

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

13869183744 is a wasteful number, since it uses less digits than its factorization.

13869183744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 432 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 13869183744 in words is "thirteen billion, eight hundred sixty-nine million, one hundred eighty-three thousand, seven hundred forty-four".