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64540960465581 = 3243439857443281
BaseRepresentation
bin11101010110011000111010…
…00001011010001010101101
322110112001111111122011201200
432223030131001122022231
531424414341334344311
6345133412524400113
716410634111144215
oct1653143501321255
9273461444564650
1064540960465581
1119623738670216
1272a45790a6039
132a02256851772
1411d1b28c43245
1576dcd264a556
hex3ab31d05a2ad

64540960465581 has 48 divisors (see below), whose sum is σ = 95722953406080. Its totient is φ = 41881917127680.

The previous prime is 64540960465483. The next prime is 64540960465613. The reversal of 64540960465581 is 18556406904546.

64540960465581 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 0 + 9 + 6 + 0 + 46 + 5 + 581 = 666.

64540960465581 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64540960465581 - 211 = 64540960463533 is a prime.

It is a super-2 number, since 2×645409604655812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64540960465181) 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 47 ways as a sum of consecutive naturals, for example, 145376661 + ... + 145819941.

It is an arithmetic number, because the mean of its divisors is an integer number (1994228195960).

Almost surely, 264540960465581 is an apocalyptic number.

It is an amenable number.

64540960465581 is a deficient number, since it is larger than the sum of its proper divisors (31181992940499).

64540960465581 is a wasteful number, since it uses less digits than its factorization.

64540960465581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444626 (or 444623 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 64540960465581 in words is "sixty-four trillion, five hundred forty billion, nine hundred sixty million, four hundred sixty-five thousand, five hundred eighty-one".

Divisors: 1 3 9 43 129 387 439 857 1317 2571 3951 7713 18877 36851 56631 110553 169893 331659 376223 443281 1128669 1329843 3386007 3989529 16177589 19061083 48532767 57183249 145598301 171549747 194600359 379891817 583801077 1139675451 1751403231 3419026353 8367815437 16335348131 25103446311 49006044393 75310338933 147018133179 166772507663 500317522989 1500952568967 7171217829509 21513653488527 64540960465581