Search a number
-
+
6414536814 = 237152727067
BaseRepresentation
bin1011111100101011…
…00001000001101110
3121120001002020021120
411332111201001232
5101114110134224
62540301441410
7314646443340
oct57625410156
917501066246
106414536814
1127a19254a4
1212b0270266
137b2c29c1a
1444bcb9290
1527821d779
hex17e56106e

6414536814 has 16 divisors (see below), whose sum is σ = 14661798528. Its totient is φ = 1832724792.

The previous prime is 6414536813. The next prime is 6414536827. The reversal of 6414536814 is 4186354146.

It is a super-2 number, since 2×64145368142 = 82292565076322541192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 152727067 = 6414536814 / (6 + 4 + 1 + 4 + 5 + 3 + 6 + 8 + 1 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6414536813) 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 7 ways as a sum of consecutive naturals, for example, 76363492 + ... + 76363575.

It is an arithmetic number, because the mean of its divisors is an integer number (916362408).

Almost surely, 26414536814 is an apocalyptic number.

6414536814 is an abundant number, since it is smaller than the sum of its proper divisors (8247261714).

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

6414536814 is a wasteful number, since it uses less digits than its factorization.

6414536814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152727079.

The product of its digits is 276480, while the sum is 42.

The square root of 6414536814 is about 80090.8035544656. The cubic root of 6414536814 is about 1858.0401770216.

The spelling of 6414536814 in words is "six billion, four hundred fourteen million, five hundred thirty-six thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 152727067 305454134 458181201 916362402 1069089469 2138178938 3207268407 6414536814