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18328131242232 = 233731109229140989
BaseRepresentation
bin1000010101011010110011…
…10000001000100011111000
32101220011002222102212002020
410022231121300020203320
54400242003044222412
6102551454404234440
73601110115036530
oct412553160104370
971804088385066
1018328131242232
115926a0a300179
12208014609ba20
13a2c448a2b036
1447512caa44c0
1521bb540a518c
hex10ab59c088f8

18328131242232 has 256 divisors, whose sum is σ = 54789841920000. Its totient is φ = 4999231457280.

The previous prime is 18328131242173. The next prime is 18328131242233. The reversal of 18328131242232 is 23224213182381.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18328131242233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129926394 + ... + 130067382.

It is an arithmetic number, because the mean of its divisors is an integer number (214022820000).

Almost surely, 218328131242232 is an apocalyptic number.

18328131242232 is a gapful number since it is divisible by the number (12) 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 18328131242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27394920960000).

18328131242232 is an abundant number, since it is smaller than the sum of its proper divisors (36461710677768).

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

18328131242232 is a wasteful number, since it uses less digits than its factorization.

18328131242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141374 (or 141370 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 18328131242232 in words is "eighteen trillion, three hundred twenty-eight billion, one hundred thirty-one million, two hundred forty-two thousand, two hundred thirty-two".