Search a number
-
+
29797427232 = 2534431012647
BaseRepresentation
bin11011110000000100…
…001010100000100000
32211220122010010210000
4123300010022200200
5442011120132412
621404434140000
72103256644456
oct336004124040
984818103700
1029797427232
1111700964121
125937121600
132a6b419a61
1416295969d6
15b95e624dc
hex6f010a820

29797427232 has 240 divisors, whose sum is σ = 90593439552. Its totient is φ = 9601804800.

The previous prime is 29797427207. The next prime is 29797427237. The reversal of 29797427232 is 23272479792.

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 (29797427237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11255733 + ... + 11258379.

Almost surely, 229797427232 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 29797427232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45296719776).

29797427232 is an abundant number, since it is smaller than the sum of its proper divisors (60796012320).

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

29797427232 is a wasteful number, since it uses less digits than its factorization.

29797427232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2796 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 29797427232 in words is "twenty-nine billion, seven hundred ninety-seven million, four hundred twenty-seven thousand, two hundred thirty-two".