Search a number
-
+
868825571328 = 21333111322113
BaseRepresentation
bin11001010010010100000…
…10100010000000000000
310002001120221121000121000
430221022002202000000
5103213323321240303
61503044415132000
7116525210335251
oct14511202420000
93061527530530
10868825571328
11305515426160
12120473b14000
1363c11cb3b00
14300a0dc6b28
1517900768da3
hexca4a0a2000

868825571328 has 672 divisors, whose sum is σ = 3042220870080. Its totient is φ = 242913116160.

The previous prime is 868825571321. The next prime is 868825571353. The reversal of 868825571328 is 823175528868.

It is a happy number.

868825571328 is a `hidden beast` number, since 8 + 6 + 8 + 8 + 25 + 571 + 32 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (868825571321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411180000 + ... + 411182112.

It is an arithmetic number, because the mean of its divisors is an integer number (4527114390).

Almost surely, 2868825571328 is an apocalyptic number.

868825571328 is a gapful number since it is divisible by the number (88) 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 868825571328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521110435040).

868825571328 is an abundant number, since it is smaller than the sum of its proper divisors (2173395298752).

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

868825571328 is a wasteful number, since it uses less digits than its factorization.

868825571328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2142 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 868825571328 in words is "eight hundred sixty-eight billion, eight hundred twenty-five million, five hundred seventy-one thousand, three hundred twenty-eight".