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6640640006 = 2711133898527
BaseRepresentation
bin1100010111101000…
…00010000000000110
3122010210112110112212
412023310002000012
5102100000440011
63014535543422
7323363336330
oct61364020006
918123473485
106640640006
1128a8517140
121353b2ab72
1381aa235b0
1446dd34450
1528ced208b
hex18bd02006

6640640006 has 64 divisors (see below), whose sum is σ = 13410109440. Its totient is φ = 2381823360.

The previous prime is 6640640003. The next prime is 6640640021. The reversal of 6640640006 is 6000460466.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6640640003) 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 31 ways as a sum of consecutive naturals, for example, 774515 + ... + 783041.

It is an arithmetic number, because the mean of its divisors is an integer number (209532960).

Almost surely, 26640640006 is an apocalyptic number.

6640640006 is an abundant number, since it is smaller than the sum of its proper divisors (6769469434).

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

6640640006 is a wasteful number, since it uses less digits than its factorization.

6640640006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8949.

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 6640640006 is about 81490.1221375941. The cubic root of 6640640006 is about 1879.6196610632.

It can be divided in two parts, 6640 and 640006, that added together give a palindrome (646646).

The spelling of 6640640006 in words is "six billion, six hundred forty million, six hundred forty thousand, six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 389 778 1001 2002 2723 4279 5057 5446 8527 8558 10114 17054 29953 35399 55627 59689 59906 70798 93797 110851 111254 119378 187594 221702 389389 656579 775957 778778 1219361 1313158 1551914 2438722 3317003 6634006 8535527 17071054 23219021 36487033 43121039 46438042 72974066 86242078 255409231 301847273 474331429 510818462 603694546 948662858 3320320003 6640640006