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243021985248 = 25372137439859
BaseRepresentation
bin1110001001010100111…
…1010011010111100000
3212020021121201222102110
43202111033103113200
512440202112011443
6303350500315320
723362211535300
oct3422517232740
9766247658373
10243021985248
1194079636509
123b1236a2b40
1319bbc4b2b93
14ba95b79600
1564c53e4233
hex38953d35e0

243021985248 has 288 divisors, whose sum is σ = 750076588800. Its totient is φ = 68690958336.

The previous prime is 243021985237. The next prime is 243021985259. The reversal of 243021985248 is 842589120342.

243021985248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243021985237) and next prime (243021985259).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 243021985197 and 243021985206.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 282912243 + ... + 282913101.

It is an arithmetic number, because the mean of its divisors is an integer number (2604432600).

Almost surely, 2243021985248 is an apocalyptic number.

243021985248 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 243021985248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375038294400).

243021985248 is an abundant number, since it is smaller than the sum of its proper divisors (507054603552).

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

243021985248 is a wasteful number, since it uses less digits than its factorization.

243021985248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 243021985248 in words is "two hundred forty-three billion, twenty-one million, nine hundred eighty-five thousand, two hundred forty-eight".