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241073635056 = 24353193490993
BaseRepresentation
bin1110000010000100011…
…0111011111011110000
3212001020211120112102020
43200201012323323300
512422204322310211
6302425300351440
723263013042112
oct3404106737360
9761224515366
10241073635056
1193269867141
123a87b0a5580
131996b950b47
14b94d0c73b2
15640e335306
hex38211bbef0

241073635056 has 80 divisors (see below), whose sum is σ = 637812989856. Its totient is φ = 78433026048.

The previous prime is 241073635051. The next prime is 241073635069. The reversal of 241073635056 is 650536370142.

241073635056 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2410736350562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241073634999 and 241073635017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241073635051) 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 15 ways as a sum of consecutive naturals, for example, 245496 + ... + 736488.

Almost surely, 2241073635056 is an apocalyptic number.

It is a pronic number, being equal to 490992×490993.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241073635056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318906494928).

241073635056 is an abundant number, since it is smaller than the sum of its proper divisors (396739354800).

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

241073635056 is a wasteful number, since it uses less digits than its factorization.

241073635056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491250 (or 491244 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 241073635056 in words is "two hundred forty-one billion, seventy-three million, six hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 193 212 318 386 424 579 636 772 848 1158 1272 1544 2316 2544 3088 4632 9264 10229 20458 30687 40916 61374 81832 122748 163664 245496 490992 490993 981986 1472979 1963972 2945958 3927944 5891916 7855888 11783832 23567664 26022629 52045258 78067887 94761649 104090516 156135774 189523298 208181032 284284947 312271548 379046596 416362064 568569894 624543096 758093192 1137139788 1249086192 1516186384 2274279576 4548559152 5022367397 10044734794 15067102191 20089469588 30134204382 40178939176 60268408764 80357878352 120536817528 241073635056