Search a number
-
+
6211641344 = 2134791583
BaseRepresentation
bin1011100100011111…
…00010000000000000
3121000220022002000112
411302033202000000
5100210140010334
62504213010452
7306634036346
oct56217420000
917026262015
106211641344
1126a8345097
121254323a28
1377cb9aa2c
1442cd81996
152654e14ce
hex1723e2000

6211641344 has 56 divisors (see below), whose sum is σ = 12456322560. Its totient is φ = 3097378816.

The previous prime is 6211641343. The next prime is 6211641377. The reversal of 6211641344 is 4431461126.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6211641344.

It is not an unprimeable number, because it can be changed into a prime (6211641343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3923177 + ... + 3924759.

Almost surely, 26211641344 is an apocalyptic number.

6211641344 is a gapful number since it is divisible by the number (64) 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 6211641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228161280).

6211641344 is an abundant number, since it is smaller than the sum of its proper divisors (6244681216).

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

6211641344 is an equidigital number, since it uses as much as digits as its factorization.

6211641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2064 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 6211641344 is about 78813.9666810395. The cubic root of 6211641344 is about 1838.2396269942.

The spelling of 6211641344 in words is "six billion, two hundred eleven million, six hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 479 512 958 1024 1583 1916 2048 3166 3832 4096 6332 7664 8192 12664 15328 25328 30656 50656 61312 101312 122624 202624 245248 405248 490496 758257 810496 980992 1516514 1620992 1961984 3033028 3241984 3923968 6066056 6483968 12132112 12967936 24264224 48528448 97056896 194113792 388227584 776455168 1552910336 3105820672 6211641344