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6164281344 = 211313711087
BaseRepresentation
bin1011011110110101…
…10111100000000000
3120220121011221022110
411233122313200000
5100111024000334
62455401535320
7305520345504
oct55732674000
916817157273
106164281344
1126836378a1
1212404a4540
13773128170
14426974304
15261288ae9
hex16f6b7800

6164281344 has 192 divisors, whose sum is σ = 17964011520. Its totient is φ = 1868267520.

The previous prime is 6164281339. The next prime is 6164281349. The reversal of 6164281344 is 4431824616.

It is an interprime number because it is at equal distance from previous prime (6164281339) and next prime (6164281349).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6164281349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5670369 + ... + 5671455.

It is an arithmetic number, because the mean of its divisors is an integer number (93562560).

Almost surely, 26164281344 is an apocalyptic number.

6164281344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6164281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982005760).

6164281344 is an abundant number, since it is smaller than the sum of its proper divisors (11799730176).

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

6164281344 is a wasteful number, since it uses less digits than its factorization.

6164281344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1176 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 6164281344 is about 78512.9374307190. The cubic root of 6164281344 is about 1833.5558822141. Note that the first 3 decimals are identical.

The spelling of 6164281344 in words is "six billion, one hundred sixty-four million, two hundred eighty-one thousand, three hundred forty-four".