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6138494208 = 283272114943
BaseRepresentation
bin1011011011110000…
…11111110100000000
3120211210122211000100
411231320133310000
5100032423303313
62453041122400
7305055224400
oct55570376400
916753584010
106138494208
112670024610
121233929400
1376a9998c2
14423380800
1525dd93173
hex16de1fd00

6138494208 has 324 divisors, whose sum is σ = 22464606528. Its totient is φ = 1594091520.

The previous prime is 6138494203. The next prime is 6138494209. The reversal of 6138494208 is 8024948316.

It is a happy number.

6138494208 is a `hidden beast` number, since 6 + 138 + 494 + 20 + 8 = 666.

It is a super-2 number, since 2×61384942082 = 75362222283299094528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138494203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1239385 + ... + 1244327.

Almost surely, 26138494208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6138494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232303264).

6138494208 is an abundant number, since it is smaller than the sum of its proper divisors (16326112320).

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

6138494208 is a wasteful number, since it uses less digits than its factorization.

6138494208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4966 counting only the distinct ones).

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

The square root of 6138494208 is about 78348.5431134491. The cubic root of 6138494208 is about 1830.9955274878.

The spelling of 6138494208 in words is "six billion, one hundred thirty-eight million, four hundred ninety-four thousand, two hundred eight".