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64300034853 = 3241272963853
BaseRepresentation
bin111011111000100101…
…001010101100100101
320010222011212012122100
4323320211022230211
52023141302103403
645312232522313
74434262164315
oct737045125445
9203864765570
1064300034853
11252a676997a
1210565b50399
1360a958c502
14317d9c9445
151a14ee22a3
hexef894ab25

64300034853 has 24 divisors (see below), whose sum is σ = 95179495320. Its totient is φ = 41805181440.

The previous prime is 64300034807. The next prime is 64300034861. The reversal of 64300034853 is 35843000346.

64300034853 is a `hidden beast` number, since 6 + 4 + 300 + 0 + 348 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1076955489 + 63223079364 = 32817^2 + 251442^2 .

It is not a de Polignac number, because 64300034853 - 226 = 64232925989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64300034753) 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 23 ways as a sum of consecutive naturals, for example, 975075 + ... + 1038927.

It is an arithmetic number, because the mean of its divisors is an integer number (3965812305).

Almost surely, 264300034853 is an apocalyptic number.

It is an amenable number.

64300034853 is a deficient number, since it is larger than the sum of its proper divisors (30879460467).

64300034853 is a wasteful number, since it uses less digits than its factorization.

64300034853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66629 (or 66626 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

It can be divided in two parts, 6430003 and 4853, that added together give a cube (6434856 = 1863).

The spelling of 64300034853 in words is "sixty-four billion, three hundred million, thirty-four thousand, eight hundred fifty-three".

Divisors: 1 3 9 41 123 369 2729 8187 24561 63853 111889 191559 335667 574677 1007001 2617973 7853919 23561757 174254837 522764511 1568293533 7144448317 21433344951 64300034853