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4064956730241 = 311253599113931
BaseRepresentation
bin111011001001110010010…
…011010100101110000001
3112101121100211020111021220
4323021302103110232001
51013100012410331431
612351225414105253
7566453263051311
oct73116223245601
915347324214256
104064956730241
111327a36112500
1255799594b229
132364294445a4
14100a6022d441
1570b13968b96
hex3b2724d4b81

4064956730241 has 96 divisors (see below), whose sum is σ = 6181088901120. Its totient is φ = 2372946576000.

The previous prime is 4064956730227. The next prime is 4064956730249. The reversal of 4064956730241 is 1420376594604.

It is not a de Polignac number, because 4064956730241 - 211 = 4064956728193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4064956730249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1034075046 + ... + 1034078976.

It is an arithmetic number, because the mean of its divisors is an integer number (64386342720).

Almost surely, 24064956730241 is an apocalyptic number.

It is an amenable number.

4064956730241 is a deficient number, since it is larger than the sum of its proper divisors (2116132170879).

4064956730241 is a wasteful number, since it uses less digits than its factorization.

4064956730241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 4064956730241 in words is "four trillion, sixty-four billion, nine hundred fifty-six million, seven hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 11 33 53 59 121 159 177 363 583 649 911 1749 1947 2733 3127 3931 6413 7139 9381 10021 11793 19239 21417 30063 34397 43241 48283 53749 103191 110231 129723 144849 161247 208343 231929 330693 378367 475651 531113 591239 625029 695787 1135101 1426953 1593339 1773717 2291773 2551219 2848697 3581141 5842243 6503629 6875319 7653657 8546091 10743423 12292237 17526729 19510887 25209503 28063409 31335667 36876711 39392551 75628509 84190227 94007001 118177653 135214607 189800473 211287319 344692337 405643821 433318061 569401419 633861957 1034077011 1299954183 1487360677 2087805203 2324160509 4462082031 6263415609 6972481527 11198227907 22965857233 25565765599 33594683721 68897571699 76697296797 123180506977 369541520931 1354985576747 4064956730241