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11565143040 = 210351168449
BaseRepresentation
bin10101100010101011…
…00001010000000000
31002211222212010202010
422301111201100000
5142141134034130
65151333052520
7556411044123
oct126125412000
932758763663
1011565143040
1149a5249160
1222a9187140
13112403a609
147b9d823ba
1547a4c40b0
hex2b1561400

11565143040 has 176 divisors, whose sum is σ = 40353739200. Its totient is φ = 2803630080.

The previous prime is 11565143033. The next prime is 11565143047. The reversal of 11565143040 is 4034156511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11565143033) and next prime (11565143047).

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11565142989 and 11565143007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11565143047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 134736 + ... + 203184.

Almost surely, 211565143040 is an apocalyptic number.

11565143040 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 11565143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176869600).

11565143040 is an abundant number, since it is smaller than the sum of its proper divisors (28788596160).

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

11565143040 is a wasteful number, since it uses less digits than its factorization.

11565143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68488 (or 68470 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11565143040 its reverse (4034156511), we get a palindrome (15599299551).

The spelling of 11565143040 in words is "eleven billion, five hundred sixty-five million, one hundred forty-three thousand, forty".