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2493324532188 = 223474128394747
BaseRepresentation
bin100100010010000101101…
…110010001100111011100
322211100201001222122220000
4210102011232101213130
5311322312040012223
65145230101454300
7345064622561220
oct44220556214734
98740631878800
102493324532188
1188145a774536
12343281411390
131511726b6299
148896b2b4780
1544ccca4e543
hex24485b919dc

2493324532188 has 240 divisors, whose sum is σ = 7657924479744. Its totient is φ = 692540202240.

The previous prime is 2493324532187. The next prime is 2493324532211. The reversal of 2493324532188 is 8812354233942.

2493324532188 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 3 + 2 + 453 + 2 + 188 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493324532187) 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 79 ways as a sum of consecutive naturals, for example, 26268231 + ... + 26362977.

Almost surely, 22493324532188 is an apocalyptic number.

2493324532188 is a gapful number since it is divisible by the number (28) 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 2493324532188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828962239872).

2493324532188 is an abundant number, since it is smaller than the sum of its proper divisors (5164599947556).

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

2493324532188 is a wasteful number, since it uses less digits than its factorization.

2493324532188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95094 (or 95083 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 2493324532188 in words is "two trillion, four hundred ninety-three billion, three hundred twenty-four million, five hundred thirty-two thousand, one hundred eighty-eight".