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8344218069 = 32111743115301
BaseRepresentation
bin1111100010101101…
…01010100111010101
3210112112010012022200
413301112222213111
5114042104434234
63455553315113
7413530453245
oct76126524725
923475105280
108344218069
1135a21035a0
12174a565a99
13a2c953655
145922abb25
1533c840d99
hex1f15aa9d5

8344218069 has 48 divisors (see below), whose sum is σ = 14245792704. Its totient is φ = 4648896000.

The previous prime is 8344218019. The next prime is 8344218083. The reversal of 8344218069 is 9608124438.

It is a happy number.

8344218069 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8344218069 - 213 = 8344209877 is a prime.

It is a super-2 number, since 2×83442180692 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8344218019) 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 47 ways as a sum of consecutive naturals, for example, 14719 + ... + 130019.

It is an arithmetic number, because the mean of its divisors is an integer number (296787348).

Almost surely, 28344218069 is an apocalyptic number.

It is an amenable number.

8344218069 is a deficient number, since it is larger than the sum of its proper divisors (5901574635).

8344218069 is a wasteful number, since it uses less digits than its factorization.

8344218069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115378 (or 115375 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8344218069 is about 91346.6916149676. The cubic root of 8344218069 is about 2028.2829899609.

The spelling of 8344218069 in words is "eight billion, three hundred forty-four million, two hundred eighteen thousand, sixty-nine".

Divisors: 1 3 9 11 17 33 43 51 99 129 153 187 387 473 561 731 1419 1683 2193 4257 6579 8041 24123 72369 115301 345903 1037709 1268311 1960117 3804933 4957943 5880351 11414799 14873829 17641053 21561287 44621487 54537373 64683861 84285031 163612119 194051583 252855093 490836357 758565279 927135341 2781406023 8344218069