Search a number
-
+
6896627712 = 2123513241
BaseRepresentation
bin1100110110001001…
…00011000000000000
3122210122012222200000
412123010203000000
5103111014041322
63100202400000
7332622240222
oct63304430000
918718188600
106896627712
112a19a6a527
121405800000
1385ba81500
14495d2c412
152a56ea3ac
hex19b123000

6896627712 has 468 divisors, whose sum is σ = 22915993464. Its totient is φ = 2070282240.

The previous prime is 6896627707. The next prime is 6896627719. The reversal of 6896627712 is 2177266986.

6896627712 is a `hidden beast` number, since 6 + 8 + 9 + 6 + 627 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6896627719) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168210412 + ... + 168210452.

It is an arithmetic number, because the mean of its divisors is an integer number (48965798).

Almost surely, 26896627712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6896627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457996732).

6896627712 is an abundant number, since it is smaller than the sum of its proper divisors (16019365752).

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

6896627712 is an equidigital number, since it uses as much as digits as its factorization.

6896627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 6896627712 is about 83045.9373599937. The cubic root of 6896627712 is about 1903.4680622153.

The spelling of 6896627712 in words is "six billion, eight hundred ninety-six million, six hundred twenty-seven thousand, seven hundred twelve".