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18312361536 = 263722384629
BaseRepresentation
bin10001000011100000…
…000111011001000000
31202021012221100111110
4101003200013121000
5300000431032121
612225041243320
71215540335100
oct210340073100
952235840443
1018312361536
11784793a297
123670933540
13195ab68ab1
14c5a0db200
15722a09d76
hex443807640

18312361536 has 168 divisors, whose sum is σ = 58813110720. Its totient is φ = 5004561408.

The previous prime is 18312361469. The next prime is 18312361549. The reversal of 18312361536 is 63516321381.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 18312361494 and 18312361503.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 174070 + ... + 258698.

It is an arithmetic number, because the mean of its divisors is an integer number (350078040).

Almost surely, 218312361536 is an apocalyptic number.

18312361536 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 18312361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29406555360).

18312361536 is an abundant number, since it is smaller than the sum of its proper divisors (40500749184).

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

18312361536 is a wasteful number, since it uses less digits than its factorization.

18312361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84681 (or 84664 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The spelling of 18312361536 in words is "eighteen billion, three hundred twelve million, three hundred sixty-one thousand, five hundred thirty-six".