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6905796768 = 2532131844497
BaseRepresentation
bin1100110111001111…
…00001100010100000
3122211021110211020200
412123213201202200
5103120340444033
63101131105200
7333063206163
oct63347414240
918737424220
106905796768
112a24162362
1214088a2200
13860941aa0
14497237ada
152a640c013
hex19b9e18a0

6905796768 has 72 divisors (see below), whose sum is σ = 21149014068. Its totient is φ = 2124859392.

The previous prime is 6905796743. The next prime is 6905796769. The reversal of 6905796768 is 8676975096.

It can be written as a sum of positive squares in 2 ways, for example, as 5735335824 + 1170460944 = 75732^2 + 34212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (6905796769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918505 + ... + 925992.

Almost surely, 26905796768 is an apocalyptic number.

It is an amenable number.

6905796768 is an abundant number, since it is smaller than the sum of its proper divisors (14243217300).

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

6905796768 is a wasteful number, since it uses less digits than its factorization.

6905796768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844526 (or 1844515 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The square root of 6905796768 is about 83101.1237469145. The cubic root of 6905796768 is about 1904.3112412835.

The spelling of 6905796768 in words is "six billion, nine hundred five million, seven hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1844497 3688994 5533491 7377988 11066982 14755976 16600473 22133964 23978461 29511952 33200946 44267928 47956922 59023904 66401892 71935383 88535856 95913844 132803784 143870766 177071712 191827688 215806149 265607568 287741532 383655376 431612298 531215136 575483064 767310752 863224596 1150966128 1726449192 2301932256 3452898384 6905796768