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5440106610 = 235531257281
BaseRepresentation
bin1010001000100000…
…10111000001110010
3112001010112001100000
411010100113001302
542120131402420
62255452210430
7251545100061
oct50420270162
915033461300
105440106610
112341886684
121079a69a16
136890a33c3
143987061d8
1521c8dd690
hex144417072

5440106610 has 192 divisors, whose sum is σ = 15254313984. Its totient is φ = 1393459200.

The previous prime is 5440106591. The next prime is 5440106699. The reversal of 5440106610 is 166010445.

5440106610 is a `hidden beast` number, since 5 + 4 + 40 + 1 + 0 + 6 + 610 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19359670 + ... + 19359950.

It is an arithmetic number, because the mean of its divisors is an integer number (79449552).

Almost surely, 25440106610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440106610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627156992).

5440106610 is an abundant number, since it is smaller than the sum of its proper divisors (9814207374).

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

5440106610 is a wasteful number, since it uses less digits than its factorization.

5440106610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5440106610 is about 73757.0783721807. The cubic root of 5440106610 is about 1758.7433576610.

The spelling of 5440106610 in words is "five billion, four hundred forty million, one hundred six thousand, six hundred ten".