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5685781920 = 25357132171931
BaseRepresentation
bin1010100101110011…
…00010010110100000
3112200020210122111120
411102321202112200
543121030010140
62340110012240
7260620230450
oct52271422640
915606718446
105685781920
112458526125
1211281a7080
136c7c60500
143bd1b7d60
1523426b1d0
hex152e625a0

5685781920 has 1152 divisors, whose sum is σ = 25500303360. Its totient is φ = 1035141120.

The previous prime is 5685781909. The next prime is 5685781921. The reversal of 5685781920 is 291875865.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5685781921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183412305 + ... + 183412335.

It is an arithmetic number, because the mean of its divisors is an integer number (22135680).

Almost surely, 25685781920 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 5685781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12750151680).

5685781920 is an abundant number, since it is smaller than the sum of its proper divisors (19814521440).

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

5685781920 is a wasteful number, since it uses less digits than its factorization.

5685781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The square root of 5685781920 is about 75404.1240251487. The cubic root of 5685781920 is about 1784.8294888479.

The spelling of 5685781920 in words is "five billion, six hundred eighty-five million, seven hundred eighty-one thousand, nine hundred twenty".