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206411472740 = 225112241353917
BaseRepresentation
bin1100000000111100010…
…1010001111101100100
3201201210011121020122202
43000033011101331210
511340212314111430
6234454002114032
720625032366234
oct3001705217544
9651704536582
10206411472740
117a5a1993600
123400694b918
1316606715525
149dc17ddcc4
155581289d45
hex300f151f64

206411472740 has 72 divisors (see below), whose sum is σ = 478430599416. Its totient is φ = 74747059200.

The previous prime is 206411472731. The next prime is 206411472769. The reversal of 206411472740 is 47274114602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6900957184 + 199510515556 = 83072^2 + 446666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206411472694 and 206411472703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406262 + ... + 760178.

Almost surely, 2206411472740 is an apocalyptic number.

206411472740 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 206411472740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239215299708).

206411472740 is an abundant number, since it is smaller than the sum of its proper divisors (272019126676).

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

206411472740 is a wasteful number, since it uses less digits than its factorization.

206411472740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354189 (or 354176 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 206411472740 in words is "two hundred six billion, four hundred eleven million, four hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 241 242 482 484 605 964 1205 1210 2410 2420 2651 4820 5302 10604 13255 26510 29161 53020 58322 116644 145805 291610 353917 583220 707834 1415668 1769585 3539170 3893087 7078340 7786174 15572348 19465435 38930870 42823957 77861740 85293997 85647914 170587994 171295828 214119785 341175988 426469985 428239570 852939970 856479140 938233967 1705879940 1876467934 3752935868 4691169835 9382339670 10320573637 18764679340 20641147274 41282294548 51602868185 103205736370 206411472740