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200766542013 = 321721312932011
BaseRepresentation
bin1011101011111010011…
…1100101000010111101
3201012012202200001110100
42322332213211002331
511242132213321023
6232121511431313
720335116310242
oct2727647450275
9635182601410
10200766542013
117816552a5a4
1232ab0385539
1315c1708912b
149a07c1b5c9
1553508dcc43
hex2ebe9e50bd

200766542013 has 72 divisors (see below), whose sum is σ = 311624048736. Its totient is φ = 124520947200.

The previous prime is 200766541999. The next prime is 200766542017. The reversal of 200766542013 is 310245667002.

It is not a de Polignac number, because 200766542013 - 25 = 200766541981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200766542017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99833178 + ... + 99835188.

It is an arithmetic number, because the mean of its divisors is an integer number (4328111788).

Almost surely, 2200766542013 is an apocalyptic number.

It is an amenable number.

200766542013 is a deficient number, since it is larger than the sum of its proper divisors (110857506723).

200766542013 is a wasteful number, since it uses less digits than its factorization.

200766542013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 200766542013 in words is "two hundred billion, seven hundred sixty-six million, five hundred forty-two thousand, thirteen".

Divisors: 1 3 9 17 51 131 153 289 293 393 867 879 1179 2011 2227 2601 2637 4981 6033 6681 14943 18099 20043 34187 37859 38383 44829 84677 102561 113577 115149 254031 263441 307683 340731 345447 581179 589223 652511 762093 790323 1743537 1767669 1957533 2370969 4478497 5230611 5303007 5872599 10016791 11092687 13435491 30050373 33278061 40306473 76134449 77188213 90151119 99834183 170285447 228403347 231564639 510856341 685210041 694693917 1312199621 1532569023 3936598863 11809796589 22307393557 66922180671 200766542013