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6436442012 = 22711131794559
BaseRepresentation
bin1011111111010010…
…00100111110011100
3121121120022010120012
411333221010332130
5101140212121022
62542403142352
7315333566030
oct57751047634
917546263505
106436442012
112803227170
1212b76749b8
137b7629590
14450b7c1c0
1527a0e8de2
hex17fa44f9c

6436442012 has 96 divisors (see below), whose sum is σ = 16013168640. Its totient is φ = 2178616320.

The previous prime is 6436441987. The next prime is 6436442017. The reversal of 6436442012 is 2102446346.

It is a self number, because there is not a number n which added to its sum of digits gives 6436442012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6436442017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20789 + ... + 115347.

It is an arithmetic number, because the mean of its divisors is an integer number (166803840).

Almost surely, 26436442012 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 6436442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006584320).

6436442012 is an abundant number, since it is smaller than the sum of its proper divisors (9576726628).

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

6436442012 is a wasteful number, since it uses less digits than its factorization.

6436442012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94611 (or 94609 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 6436442012 is about 80227.4392711122. The cubic root of 6436442012 is about 1860.1528001036.

Adding to 6436442012 its reverse (2102446346), we get a palindrome (8538888358).

The spelling of 6436442012 in words is "six billion, four hundred thirty-six million, four hundred forty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2431 2618 3094 4004 4862 5236 6188 9724 17017 34034 68068 94559 189118 378236 661913 1040149 1229267 1323826 1607503 2080298 2458534 2647652 3215006 4160596 4917068 6430012 7281043 8604869 11252521 13521937 14562086 17209738 17682533 20897539 22505042 27043874 29124172 34419476 35365066 41795078 45010084 54087748 70730132 83590156 94653559 123777731 146282773 189307118 229872929 247555462 292565546 378614236 459745858 495110924 585131092 919491716 1609110503 3218221006 6436442012