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243269668080 = 243252393314271
BaseRepresentation
bin1110001010010000000…
…0001000110011110000
3212020220212210120101200
43202210000020303300
512441204013334310
6303431225131200
723401310026545
oct3424400106360
9766825716350
10243269668080
119419642726a
123b192629b00
1319c2b8c397a
14babaa10bcc
1564dc01b9c0
hex38a4008cf0

243269668080 has 240 divisors, whose sum is σ = 823070177280. Its totient is φ = 64390233600.

The previous prime is 243269668051. The next prime is 243269668091. The reversal of 243269668080 is 80866962342.

243269668080 is a `hidden beast` number, since 243 + 269 + 6 + 68 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56956345 + ... + 56960615.

It is an arithmetic number, because the mean of its divisors is an integer number (3429459072).

Almost surely, 2243269668080 is an apocalyptic number.

243269668080 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 243269668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411535088640).

243269668080 is an abundant number, since it is smaller than the sum of its proper divisors (579800509200).

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

243269668080 is a wasteful number, since it uses less digits than its factorization.

243269668080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 243269668080 in words is "two hundred forty-three billion, two hundred sixty-nine million, six hundred sixty-eight thousand, eighty".