Search a number
-
+
27538212832 = 2513618831229
BaseRepresentation
bin11001101001011001…
…111100011111100000
32122002012000011020121
4121221121330133200
5422344240302312
620352331250024
71663264642534
oct315131743740
978065004217
1027538212832
111075166a989
1254065a9914
13279b354bc0
141493503bc4
15ab294a707
hex66967c7e0

27538212832 has 96 divisors (see below), whose sum is σ = 59459006880. Its totient is φ = 12477265920.

The previous prime is 27538212829. The next prime is 27538212847. The reversal of 27538212832 is 23821283572.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22406394 + ... + 22407622.

It is an arithmetic number, because the mean of its divisors is an integer number (619364655).

Almost surely, 227538212832 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 27538212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29729503440).

27538212832 is an abundant number, since it is smaller than the sum of its proper divisors (31920794048).

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

27538212832 is a wasteful number, since it uses less digits than its factorization.

27538212832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2188 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The spelling of 27538212832 in words is "twenty-seven billion, five hundred thirty-eight million, two hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 883 976 1229 1586 1766 1952 2458 3172 3532 4916 6344 7064 9832 11479 12688 14128 15977 19664 22958 25376 28256 31954 39328 45916 53863 63908 74969 91832 107726 127816 149938 183664 215452 255632 299876 367328 430904 511264 599752 700219 861808 974597 1085207 1199504 1400438 1723616 1949194 2170414 2399008 2800876 3898388 4340828 5601752 7796776 8681656 11203504 14107691 15593552 17363312 22407008 28215382 31187104 34726624 56430764 66197627 112861528 132395254 225723056 264790508 451446112 529581016 860569151 1059162032 1721138302 2118324064 3442276604 6884553208 13769106416 27538212832