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216064642140 = 223251200359123
BaseRepresentation
bin1100100100111001110…
…1001100110001011100
3202122200220202001122100
43021032131030301130
512020000022022030
6243131515045100
721416166104244
oct3111635146134
9678626661570
10216064642140
11836a5948656
1235a5b740790
13174b45b9299
14a65987cb24
155948988360
hex324e74cc5c

216064642140 has 36 divisors (see below), whose sum is σ = 655396081704. Its totient is φ = 57617237856.

The previous prime is 216064642121. The next prime is 216064642141. The reversal of 216064642140 is 41246460612.

216064642140 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 6 + 4 + 642 + 1 + 4 + 0 = 666.

216064642140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216064642095 and 216064642104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216064642141) 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 11 ways as a sum of consecutive naturals, for example, 600179382 + ... + 600179741.

It is an arithmetic number, because the mean of its divisors is an integer number (18205446714).

Almost surely, 2216064642140 is an apocalyptic number.

216064642140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216064642140 is an abundant number, since it is smaller than the sum of its proper divisors (439331439564).

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

216064642140 is a wasteful number, since it uses less digits than its factorization.

216064642140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200359138 (or 1200359133 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 216064642140 in words is "two hundred sixteen billion, sixty-four million, six hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1200359123 2400718246 3601077369 4801436492 6001795615 7202154738 10803232107 12003591230 14404309476 18005386845 21606464214 24007182460 36010773690 43212928428 54016160535 72021547380 108032321070 216064642140