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64141905505 = 5172926021057
BaseRepresentation
bin111011101111001001…
…111100111001100001
320010120011022101221211
4323233021330321201
52022330311434010
645244423350121
74430332125646
oct735711747141
9203504271854
1064141905505
1125225484a67
1210520bb2341
1360828a5352
1431669c5dcd
151a061a908a
hexeef27ce61

64141905505 has 16 divisors (see below), whose sum is σ = 84308227920. Its totient is φ = 46629732352.

The previous prime is 64141905473. The next prime is 64141905517. The reversal of 64141905505 is 50550914146.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6810870784 + 57331034721 = 82528^2 + 239439^2 .

It is a cyclic number.

It is not a de Polignac number, because 64141905505 - 25 = 64141905473 is a prime.

It is a super-2 number, since 2×641419055052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13008064 + ... + 13012993.

It is an arithmetic number, because the mean of its divisors is an integer number (5269264245).

Almost surely, 264141905505 is an apocalyptic number.

It is an amenable number.

64141905505 is a deficient number, since it is larger than the sum of its proper divisors (20166322415).

64141905505 is a wasteful number, since it uses less digits than its factorization.

64141905505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26021108.

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 64141905505 in words is "sixty-four billion, one hundred forty-one million, nine hundred five thousand, five hundred five".

Divisors: 1 5 17 29 85 145 493 2465 26021057 130105285 442357969 754610653 2211789845 3773053265 12828381101 64141905505