Search a number
-
+
6896188992 = 26371117231193
BaseRepresentation
bin1100110110000101…
…10111111001000000
3122210121101200212010
412123002313321000
5103110411021432
63100145132520
7332615432160
oct63302677100
918717350763
106896188992
112a1979a950
12140562a140
1385b959904
14495c565a0
152a56603cc
hex19b0b7e40

6896188992 has 448 divisors, whose sum is σ = 25154924544. Its totient is φ = 1611202560.

The previous prime is 6896188991. The next prime is 6896188993. The reversal of 6896188992 is 2998816986.

It is an interprime number because it is at equal distance from previous prime (6896188991) and next prime (6896188993).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×68961889922 = 95114845226763952128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (6896188991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5779948 + ... + 5781140.

Almost surely, 26896188992 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 6896188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577462272).

6896188992 is an abundant number, since it is smaller than the sum of its proper divisors (18258735552).

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

6896188992 is a wasteful number, since it uses less digits than its factorization.

6896188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 66.

The square root of 6896188992 is about 83043.2958883497. The cubic root of 6896188992 is about 1903.4276991445.

The spelling of 6896188992 in words is "six billion, eight hundred ninety-six million, one hundred eighty-eight thousand, nine hundred ninety-two".