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64201683285 = 3251783923769
BaseRepresentation
bin111011110010101101…
…111111000101010101
320010201022210102122200
4323302231333011111
52022441112331120
645254400515113
74431656206125
oct736255770525
9203638712580
1064201683285
11252561a3993
121053901ba99
1360920a510c
143170906c85
151a0b565e90
hexef2b7f155

64201683285 has 24 divisors (see below), whose sum is σ = 117828973080. Its totient is φ = 32226726912.

The previous prime is 64201683269. The next prime is 64201683323. The reversal of 64201683285 is 58238610246.

64201683285 is a `hidden beast` number, since 64 + 201 + 68 + 328 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25521021009 + 38680662276 = 159753^2 + 196674^2 .

It is not a de Polignac number, because 64201683285 - 24 = 64201683269 is a prime.

It is a super-3 number, since 3×642016832853 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 64201683285.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41961120 + ... + 41962649.

It is an arithmetic number, because the mean of its divisors is an integer number (4909540545).

Almost surely, 264201683285 is an apocalyptic number.

It is an amenable number.

64201683285 is a deficient number, since it is larger than the sum of its proper divisors (53627289795).

64201683285 is a wasteful number, since it uses less digits than its factorization.

64201683285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83923797 (or 83923794 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 64201683285 in words is "sixty-four billion, two hundred one million, six hundred eighty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 83923769 251771307 419618845 755313921 1258856535 1426704073 3776569605 4280112219 7133520365 12840336657 21400561095 64201683285