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564486416055 = 32527146288349
BaseRepresentation
bin10000011011011100000…
…00110010011010110111
31222222001000210001211100
420031232000302122313
533222032010303210
61111153234541143
755532333240262
oct10155600623267
91888030701740
10564486416055
111a8440958321
12914994377b3
1341300206803
141d46d887cd9
15ea3c18e5c0
hex836e0326b7

564486416055 has 24 divisors (see below), whose sum is σ = 982053633600. Its totient is φ = 299948495040.

The previous prime is 564486416033. The next prime is 564486416057. The reversal of 564486416055 is 550614684465.

564486416055 is a `hidden beast` number, since 5 + 64 + 486 + 41 + 60 + 5 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2k-564486416055 is a prime.

It is a super-3 number, since 3×5644864160553 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564486415992 and 564486416010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564486416057) 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 23 ways as a sum of consecutive naturals, for example, 23131980 + ... + 23156369.

It is an arithmetic number, because the mean of its divisors is an integer number (40918901400).

Almost surely, 2564486416055 is an apocalyptic number.

564486416055 is a deficient number, since it is larger than the sum of its proper divisors (417567217545).

564486416055 is a wasteful number, since it uses less digits than its factorization.

564486416055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46288631 (or 46288628 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 564486416055 in words is "five hundred sixty-four billion, four hundred eighty-six million, four hundred sixteen thousand, fifty-five".

Divisors: 1 3 5 9 15 45 271 813 1355 2439 4065 12195 46288349 138865047 231441745 416595141 694325235 2082975705 12544142579 37632427737 62720712895 112897283211 188162138685 564486416055