Search a number
-
+
5688271680 = 26357131923149
BaseRepresentation
bin1010100110000110…
…00010001101000000
3112200102111010210220
411103003002031000
543122144143210
62340235223040
7260650340310
oct52303021500
915612433726
105688271680
112459976783
121128ba7a80
136c8622840
143bd665440
152345adc70
hex1530c2340

5688271680 has 896 divisors, whose sum is σ = 24579072000. Its totient is φ = 1080262656.

The previous prime is 5688271663. The next prime is 5688271691. The reversal of 5688271680 is 861728865.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38176246 + ... + 38176394.

It is an arithmetic number, because the mean of its divisors is an integer number (27432000).

Almost surely, 25688271680 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 5688271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536000).

5688271680 is an abundant number, since it is smaller than the sum of its proper divisors (18890800320).

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

5688271680 is a wasteful number, since it uses less digits than its factorization.

5688271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 5688271680 is about 75420.6316600438. The cubic root of 5688271680 is about 1785.0899718477.

The spelling of 5688271680 in words is "five billion, six hundred eighty-eight million, two hundred seventy-one thousand, six hundred eighty".