Search a number
-
+
29260509696 = 2932111394153
BaseRepresentation
bin11011010000000011…
…111111001000000000
32210112012210220101100
4123100003333020000
5434411142302241
621235254134400
72054050141305
oct332003771000
983465726340
1029260509696
1111455882020
125807351400
1329b410a182
1415b81510ac
15b63c559b6
hex6d00ff200

29260509696 has 240 divisors, whose sum is σ = 92809997280. Its totient is φ = 8800911360.

The previous prime is 29260509671. The next prime is 29260509703. The reversal of 29260509696 is 69690506292.

29260509696 is a `hidden beast` number, since 29 + 2 + 605 + 0 + 9 + 6 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7043556 + ... + 7047708.

It is an arithmetic number, because the mean of its divisors is an integer number (386708322).

Almost surely, 229260509696 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 29260509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46404998640).

29260509696 is an abundant number, since it is smaller than the sum of its proper divisors (63549487584).

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

29260509696 is a wasteful number, since it uses less digits than its factorization.

29260509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 29260509696 in words is "twenty-nine billion, two hundred sixty million, five hundred nine thousand, six hundred ninety-six".