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241983163339008 = 283713172231733011
BaseRepresentation
bin110111000001010100011000…
…011111100001000100000000
31011201210100211201020220221020
4313001110120133201010000
5223204123004303322013
62214353310334425440
7101653464240542250
oct6701243037410400
91151710751226836
10241983163339008
1170115535242643
1223181b5b962280
13a503bb6bb6ac0
1443a809486b960
151ce980dac8623
hexdc15187e1100

241983163339008 has 1728 divisors, whose sum is σ = 884000981348352. Its totient is φ = 57103008399360.

The previous prime is 241983163338929. The next prime is 241983163339061. The reversal of 241983163339008 is 800933361389142.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80366376223 + ... + 80366379233.

It is an arithmetic number, because the mean of its divisors is an integer number (511574641984).

Almost surely, 2241983163339008 is an apocalyptic number.

241983163339008 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 241983163339008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442000490674176).

241983163339008 is an abundant number, since it is smaller than the sum of its proper divisors (642017818009344).

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

241983163339008 is a wasteful number, since it uses less digits than its factorization.

241983163339008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 241983163339008 in words is "two hundred forty-one trillion, nine hundred eighty-three billion, one hundred sixty-three million, three hundred thirty-nine thousand, eight".