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64506105045 = 3252177365837
BaseRepresentation
bin111100000100110111…
…010000110011010101
320011111112121122210200
4330010313100303111
52024102030330140
645344513411113
74442343563124
oct740467206325
9204445548720
1064506105045
11253a2018518
1210602b69a99
136110190735
14319d10babb
151a2814a030
hexf04dd0cd5

64506105045 has 24 divisors (see below), whose sum is σ = 111817415736. Its totient is φ = 34401153408.

The previous prime is 64506105023. The next prime is 64506105089. The reversal of 64506105045 is 54050160546.

64506105045 = T30846 + T30847 + ... + T30980.

64506105045 is a `hidden beast` number, since 6 + 4 + 506 + 105 + 0 + 45 = 666.

64506105045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 587141361 + 63918963684 = 24231^2 + 252822^2 .

It is not a de Polignac number, because 64506105045 - 26 = 64506104981 is a prime.

It is a super-2 number, since 2×645061050452 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946867 + ... + 1012703.

It is an arithmetic number, because the mean of its divisors is an integer number (4659058989).

Almost surely, 264506105045 is an apocalyptic number.

It is an amenable number.

64506105045 is a deficient number, since it is larger than the sum of its proper divisors (47311310691).

64506105045 is a wasteful number, since it uses less digits than its factorization.

64506105045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87621 (or 87618 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 64506105045 in words is "sixty-four billion, five hundred six million, one hundred five thousand, forty-five".

Divisors: 1 3 5 9 15 45 21773 65319 65837 108865 195957 197511 326595 329185 592533 979785 987555 2962665 1433469001 4300407003 7167345005 12901221009 21502035015 64506105045