Search a number
-
+
6414369060 = 223511291392411
BaseRepresentation
bin1011111100101001…
…11000000100100100
3121120000202201011110
411332110320010210
5101114034302220
62540254105020
7314645144301
oct57624700444
917500681143
106414369060
1127a1820460
1212b01ab170
137b2b9b768
1444bc740a8
152781d8be0
hex17e538124

6414369060 has 192 divisors, whose sum is σ = 20422886400. Its totient is φ = 1489958400.

The previous prime is 6414369047. The next prime is 6414369083. The reversal of 6414369060 is 609634146.

It is a super-2 number, since 2×64143690602 = 82288260875770567200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2659255 + ... + 2661665.

It is an arithmetic number, because the mean of its divisors is an integer number (106369200).

Almost surely, 26414369060 is an apocalyptic number.

6414369060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6414369060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211443200).

6414369060 is an abundant number, since it is smaller than the sum of its proper divisors (14008517340).

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

6414369060 is a wasteful number, since it uses less digits than its factorization.

6414369060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 6414369060 is about 80089.7562738207. The cubic root of 6414369060 is about 1858.0239796250.

The spelling of 6414369060 in words is "six billion, four hundred fourteen million, three hundred sixty-nine thousand, sixty".