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243522145435320 = 233253796718906353
BaseRepresentation
bin110111010111101101101010…
…111110010011111010111000
31011221020111020000120201210200
4313113231222332103322320
5223404331323212412240
62221532310150042200
7102202615531532343
oct6727555276237270
91157214200521720
10243522145435320
1170659186541954
1223390281949360
13a5b606951758b
14441c76b41745a
151d248833dd930
hexdd7b6af93eb8

243522145435320 has 192 divisors, whose sum is σ = 813678050877120. Its totient is φ = 63118780526592.

The previous prime is 243522145435253. The next prime is 243522145435367. The reversal of 243522145435320 is 23534541225342.

It is a happy number.

243522145435320 is a `hidden beast` number, since 2 + 4 + 3 + 5 + 22 + 14 + 543 + 53 + 20 = 666.

It is a super-2 number, since 2×2435221454353202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3427264 + ... + 22333616.

It is an arithmetic number, because the mean of its divisors is an integer number (4237906514985).

Almost surely, 2243522145435320 is an apocalyptic number.

243522145435320 is a gapful number since it is divisible by the number (20) 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 243522145435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406839025438560).

243522145435320 is an abundant number, since it is smaller than the sum of its proper divisors (570155905441800).

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

243522145435320 is a wasteful number, since it uses less digits than its factorization.

243522145435320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18907374 (or 18907367 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 243522145435320 in words is "two hundred forty-three trillion, five hundred twenty-two billion, one hundred forty-five million, four hundred thirty-five thousand, three hundred twenty".