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6852438648 = 2335113110337
BaseRepresentation
bin1100110000110111…
…11110101001111000
3122200120001221200000
412120123332221320
5103013211014043
63051543313000
7331544524146
oct63033765170
918616057600
106852438648
1129a7028640
1213b2a4b760
1385287c033
14490108596
152a18bc2d3
hex1986fea78

6852438648 has 192 divisors, whose sum is σ = 21675064320. Its totient is φ = 2009318400.

The previous prime is 6852438647. The next prime is 6852438653. The reversal of 6852438648 is 8468342586.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6852438594 and 6852438603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6852438643) 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, 657736 + ... + 668072.

It is an arithmetic number, because the mean of its divisors is an integer number (112890960).

Almost surely, 26852438648 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 6852438648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10837532160).

6852438648 is an abundant number, since it is smaller than the sum of its proper divisors (14822625672).

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

6852438648 is a wasteful number, since it uses less digits than its factorization.

6852438648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400 (or 10384 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 6852438648 is about 82779.4578866037. The cubic root of 6852438648 is about 1899.3939570342.

The spelling of 6852438648 in words is "six billion, eight hundred fifty-two million, four hundred thirty-eight thousand, six hundred forty-eight".