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64284236064 = 253424801017
BaseRepresentation
bin111011110111101000…
…111001100100100000
320010221002010112210000
4323313220321210200
52023123231023224
645310510140000
74434010663566
oct736750714440
9203832115700
1064284236064
1125298859024
12105607b1600
1360a621a409
14317b875a36
151a139210c9
hexef7a39920

64284236064 has 60 divisors (see below), whose sum is σ = 189058160214. Its totient is φ = 21428077824.

The previous prime is 64284236063. The next prime is 64284236069. The reversal of 64284236064 is 46063248246.

64284236064 is a `hidden beast` number, since 6 + 4 + 284 + 2 + 360 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40599026064 + 23685210000 = 201492^2 + 153900^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (64284236063) 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 9 ways as a sum of consecutive naturals, for example, 12397917 + ... + 12403100.

Almost surely, 264284236064 is an apocalyptic number.

It is an amenable number.

64284236064 is an abundant number, since it is smaller than the sum of its proper divisors (124773924150).

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

64284236064 is a wasteful number, since it uses less digits than its factorization.

64284236064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24801039 (or 24801022 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 64284236064 in words is "sixty-four billion, two hundred eighty-four million, two hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 24801017 49602034 74403051 99204068 148806102 198408136 223209153 297612204 396816272 446418306 595224408 669627459 793632544 892836612 1190448816 1339254918 1785673224 2008882377 2380897632 2678509836 3571346448 4017764754 5357019672 7142692896 8035529508 10714039344 16071059016 21428078688 32142118032 64284236064