Search a number
-
+
69831834480 = 24335151251853
BaseRepresentation
bin100000100001001001…
…1010011101101110000
320200020200220202011000
41001002103103231300
52121003422200410
652025202322000
75021332541112
oct1010223235560
9220220822130
1069831834480
1127685282901
121164a659300
13677b658325
14354655d3b2
151c3a993dc0
hex10424d3b70

69831834480 has 320 divisors, whose sum is σ = 243374423040. Its totient is φ = 18403200000.

The previous prime is 69831834467. The next prime is 69831834481. The reversal of 69831834480 is 8443813896.

69831834480 is a `hidden beast` number, since 6 + 9 + 83 + 1 + 83 + 4 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69831834481) 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, 81865734 + ... + 81866586.

It is an arithmetic number, because the mean of its divisors is an integer number (760545072).

Almost surely, 269831834480 is an apocalyptic number.

69831834480 is a gapful number since it is divisible by the number (60) 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 69831834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121687211520).

69831834480 is an abundant number, since it is smaller than the sum of its proper divisors (173542588560).

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

69831834480 is a wasteful number, since it uses less digits than its factorization.

69831834480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 69831834480 in words is "sixty-nine billion, eight hundred thirty-one million, eight hundred thirty-four thousand, four hundred eighty".