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64050189487632 = 2432444792982553
BaseRepresentation
bin11101001000000110110001…
…10010101100111000010000
322101210010201211110100200200
432210003120302230320100
531343344242002101012
6344120130103215200
716330321255516425
oct1644033062547020
9271703654410620
1064050189487632
11194545951a9677
127225432a47500
132997ba37600aa
1411b608d60dd4c
1576115bd823dc
hex3a40d8cace10

64050189487632 has 30 divisors (see below), whose sum is σ = 179251571969262. Its totient is φ = 21350063162496.

The previous prime is 64050189487631. The next prime is 64050189487639. The reversal of 64050189487632 is 23678498105046.

64050189487632 is a `hidden beast` number, since 6 + 4 + 0 + 501 + 8 + 94 + 8 + 7 + 6 + 32 = 666.

64050189487632 is digitally balanced in base 5, 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 only one way, i.e., 41537973440016 + 22512216047616 = 6444996^2 + 4744704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64050189487632.

It is not an unprimeable number, because it can be changed into a prime (64050189487631) 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 5 ways as a sum of consecutive naturals, for example, 222396491133 + ... + 222396491420.

It is a 2-persistent number, because it is pandigital, and so is 2⋅64050189487632 = 128100378975264, but 3⋅64050189487632 = 192150568462896 is not.

Almost surely, 264050189487632 is an apocalyptic number.

It is an amenable number.

64050189487632 is an abundant number, since it is smaller than the sum of its proper divisors (115201382481630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64050189487632 is a wasteful number, since it uses less digits than its factorization.

64050189487632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444792982567 (or 444792982558 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 64050189487632 in words is "sixty-four trillion, fifty billion, one hundred eighty-nine million, four hundred eighty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 444792982553 889585965106 1334378947659 1779171930212 2668757895318 3558343860424 4003136842977 5337515790636 7116687720848 8006273685954 10675031581272 16012547371908 21350063162544 32025094743816 64050189487632