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86338364920336 = 2423229612
BaseRepresentation
bin10011101000011000110111…
…100100100101001000010000
3102022200212102002200111010201
4103220120313210211020100
542304031432404422321
6503343144114104544
724120512112031654
oct2350306744451020
9368625362614121
1086338364920336
1125567993185321
129824b5387b154
1339238994072b9
141746b28c6aa64
159eacd4239291
hex4e8637925210

86338364920336 has 15 divisors (see below), whose sum is σ = 167280654044973. Its totient is φ = 43169163876480.

The previous prime is 86338364920333. The next prime is 86338364920387. The reversal of 86338364920336 is 63302946383368.

The square root of 86338364920336 is 9291844.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68145751441936 + 18192613478400 = 8255044^2 + 4265280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86338364920331) 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 2 ways as a sum of consecutive naturals, for example, 36005896 + ... + 38328856.

Almost surely, 286338364920336 is an apocalyptic number.

86338364920336 is the 9291844-th square number.

It is an amenable number.

86338364920336 is a deficient number, since it is larger than the sum of its proper divisors (80942289124637).

86338364920336 is an frugal number, since it uses more digits than its factorization.

86338364920336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645930 (or 2322963 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 64.

The spelling of 86338364920336 in words is "eighty-six trillion, three hundred thirty-eight billion, three hundred sixty-four million, nine hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 2322961 4645922 9291844 18583688 37167376 5396147807521 10792295615042 21584591230084 43169182460168 86338364920336