Search a number
-
+
68892830208 = 2934171937139
BaseRepresentation
bin100000000101001010…
…1010010101000000000
320120211021000101110000
41000022111102220000
52112043031031313
651352100240000
74656141252246
oct1001225225000
9216737011400
1068892830208
1127243230014
12114280a0000
13665bc563b7
14349796c796
151bd3310673
hex100a552a00

68892830208 has 800 divisors, whose sum is σ = 237069201600. Its totient is φ = 19779158016.

The previous prime is 68892830203. The next prime is 68892830219. The reversal of 68892830208 is 80203829886.

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 (68892830203) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 495631803 + ... + 495631941.

It is an arithmetic number, because the mean of its divisors is an integer number (296336502).

Almost surely, 268892830208 is an apocalyptic number.

68892830208 is a gapful number since it is divisible by the number (68) 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 68892830208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118534600800).

68892830208 is an abundant number, since it is smaller than the sum of its proper divisors (168176371392).

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

68892830208 is a wasteful number, since it uses less digits than its factorization.

68892830208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 68892830208 in words is "sixty-eight billion, eight hundred ninety-two million, eight hundred thirty thousand, two hundred eight".