Search a number
-
+
4361166064 = 2419411312671
BaseRepresentation
bin1000000111111001…
…00001110011110000
3102020221022012011001
410003330201303300
532412424303224
62000430531344
7213034204603
oct40374416360
912227265131
104361166064
111938845682
12a18666b54
135466b7148
142d52ca33a
151a7d17544
hex103f21cf0

4361166064 has 80 divisors (see below), whose sum is σ = 9184412160. Its totient is φ = 1999296000.

The previous prime is 4361166053. The next prime is 4361166067. The reversal of 4361166064 is 4606611634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4361166067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631449 + ... + 1634119.

It is an arithmetic number, because the mean of its divisors is an integer number (114805152).

Almost surely, 24361166064 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 4361166064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592206080).

4361166064 is an abundant number, since it is smaller than the sum of its proper divisors (4823246096).

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

4361166064 is a wasteful number, since it uses less digits than its factorization.

4361166064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 4361166064 is about 66039.1252516264. The cubic root of 4361166064 is about 1633.8074597835.

Adding to 4361166064 its reverse (4606611634), we get a palindrome (8967777698).

The spelling of 4361166064 in words is "four billion, three hundred sixty-one million, one hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 41 76 82 131 152 164 262 304 328 524 656 779 1048 1558 2096 2489 2671 3116 4978 5342 5371 6232 9956 10684 10742 12464 19912 21368 21484 39824 42736 42968 50749 85936 101498 102049 109511 202996 204098 219022 349901 405992 408196 438044 699802 811984 816392 876088 1399604 1632784 1752176 2080709 2799208 4161418 5598416 6648119 8322836 13296238 14345941 16645672 26592476 28691882 33291344 53184952 57383764 106369904 114767528 229535056 272572879 545145758 1090291516 2180583032 4361166064