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5564161332 = 22324110933449
BaseRepresentation
bin1010010111010011…
…00101110100110100
3112100202221200102100
411023221211310310
542343411130312
62320043142100
7254612406462
oct51351456464
915322850370
105564161332
1123a5907844
1210b3514930
136a89b9a72
143aad99832
152287455dc
hex14ba65d34

5564161332 has 72 divisors (see below), whose sum is σ = 14425374600. Its totient is φ = 1807303680.

The previous prime is 5564161331. The next prime is 5564161349. The reversal of 5564161332 is 2331614655.

5564161332 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 1 + 613 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41293476 + 5522867856 = 6426^2 + 74316^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5564161331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1611544 + ... + 1614992.

It is an arithmetic number, because the mean of its divisors is an integer number (200352425).

Almost surely, 25564161332 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 5564161332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212687300).

5564161332 is an abundant number, since it is smaller than the sum of its proper divisors (8861213268).

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

5564161332 is a wasteful number, since it uses less digits than its factorization.

5564161332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4588 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5564161332 is about 74593.3062144319. The cubic root of 5564161332 is about 1772.0116437196.

Adding to 5564161332 its reverse (2331614655), we get a palindrome (7895775987).

The spelling of 5564161332 in words is "five billion, five hundred sixty-four million, one hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1093 1476 2186 3279 3449 4372 6558 6898 9837 10347 13116 13796 19674 20694 31041 39348 41388 44813 62082 89626 124164 134439 141409 179252 268878 282818 403317 424227 537756 565636 806634 848454 1272681 1613268 1696908 2545362 3769757 5090724 7539514 11309271 15079028 22618542 33927813 45237084 67855626 135711252 154560037 309120074 463680111 618240148 927360222 1391040333 1854720444 2782080666 5564161332