Search a number
-
+
4137332672 = 261124391217
BaseRepresentation
bin1111011010011010…
…1010111111000000
3101200100010021110102
43312212222333000
531433124121142
61522313221532
7204345514244
oct36646527700
911610107412
104137332672
111833464300
129757018a8
1350c206955
142b36a2424
15193351532
hexf69aafc0

4137332672 has 84 divisors (see below), whose sum is σ = 9052224720. Its totient is φ = 1874780160.

The previous prime is 4137332651. The next prime is 4137332699. The reversal of 4137332672 is 2762337314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3399008 + ... + 3400224.

It is an arithmetic number, because the mean of its divisors is an integer number (107764580).

Almost surely, 24137332672 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 4137332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526112360).

4137332672 is an abundant number, since it is smaller than the sum of its proper divisors (4914892048).

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

4137332672 is a wasteful number, since it uses less digits than its factorization.

4137332672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1669 counting only the distinct ones).

The product of its digits is 127008, while the sum is 38.

The square root of 4137332672 is about 64322.1009607118. The cubic root of 4137332672 is about 1605.3638563920.

Adding to 4137332672 its reverse (2762337314), we get a palindrome (6899669986).

The spelling of 4137332672 in words is "four billion, one hundred thirty-seven million, three hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 439 484 704 878 968 1217 1756 1936 2434 3512 3872 4829 4868 7024 7744 9658 9736 13387 14048 19316 19472 26774 28096 38632 38944 53119 53548 77264 77888 106238 107096 147257 154528 212476 214192 294514 309056 424952 428384 534263 589028 849904 856768 1068526 1178056 1699808 2137052 2356112 3399616 4274104 4712224 5876893 8548208 9424448 11753786 17096416 23507572 34192832 47015144 64645823 94030288 129291646 188060576 258583292 376121152 517166584 1034333168 2068666336 4137332672