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5690558016 = 2633111323029
BaseRepresentation
bin1010100110010111…
…10000011001000000
3112200120210022002000
411103023300121000
543123240324031
62340400224000
7261005642103
oct52313603100
915616708060
105690558016
112460198510
12112990b000
136c8c433c0
143bda9c73a
152348b13e6
hex1532f0640

5690558016 has 224 divisors, whose sum is σ = 19654723200. Its totient is φ = 1591695360.

The previous prime is 5690557991. The next prime is 5690558017. The reversal of 5690558016 is 6108550965.

It is a happy number.

5690558016 is a `hidden beast` number, since 5 + 6 + 90 + 558 + 0 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5690558017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235590 + ... + 258618.

It is an arithmetic number, because the mean of its divisors is an integer number (87744300).

Almost surely, 25690558016 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 5690558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827361600).

5690558016 is an abundant number, since it is smaller than the sum of its proper divisors (13964165184).

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

5690558016 is a wasteful number, since it uses less digits than its factorization.

5690558016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23074 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5690558016 is about 75435.7873691261. The cubic root of 5690558016 is about 1785.3291053376.

It can be divided in two parts, 56905 and 58016, that added together give a square (114921 = 3392).

The spelling of 5690558016 in words is "five billion, six hundred ninety million, five hundred fifty-eight thousand, sixteen".