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9861432341689 = 244138329105401
BaseRepresentation
bin1000111110000000101100…
…1010111111010010111001
31021220202002011201212111101
42033200023022333102321
52243032203134413224
632550140211131401
72035315325601265
oct217401312772271
937822064655441
109861432341689
113162234519445
1211332658a3b61
13566c10259ab6
1426141dc310a5
151217b9d54044
hex8f80b2bf4b9

9861432341689 has 8 divisors (see below), whose sum is σ = 9865823247720. Its totient is φ = 9857041728000.

The previous prime is 9861432341687. The next prime is 9861432341707.

9861432341689 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 478801722025 + 9382630619664 = 691955^2 + 3063108^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9861432341689 - 21 = 9861432341687 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9861432341689.

It is not an unprimeable number, because it can be changed into a prime (9861432341687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 93508389 + ... + 93613789.

It is an arithmetic number, because the mean of its divisors is an integer number (1233227905965).

Almost surely, 29861432341689 is an apocalyptic number.

It is an amenable number.

9861432341689 is a deficient number, since it is larger than the sum of its proper divisors (4390906031).

9861432341689 is a wasteful number, since it uses less digits than its factorization.

9861432341689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146171.

The product of its digits is 53747712, while the sum is 64.

The spelling of 9861432341689 in words is "nine trillion, eight hundred sixty-one billion, four hundred thirty-two million, three hundred forty-one thousand, six hundred eighty-nine".

Divisors: 1 2441 38329 105401 93561089 257283841 4039914929 9861432341689