Search a number
-
+
29620533852 = 2232713312631109
BaseRepresentation
bin11011100101100001…
…010111101001011100
32211110022021000200100
4123211201113221130
5441130324040402
621335114501100
72066011245360
oct334541275134
984408230610
1029620533852
1111620023548
1258a7a34790
132a40892c10
14160dcab2a0
15b8566e71c
hex6e5857a5c

29620533852 has 288 divisors, whose sum is σ = 95573237760. Its totient is φ = 7524472320.

The previous prime is 29620533829. The next prime is 29620533869. The reversal of 29620533852 is 25833502692.

29620533852 is a `hidden beast` number, since 2 + 9 + 62 + 0 + 533 + 8 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29620533798 and 29620533807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26708674 + ... + 26709782.

It is an arithmetic number, because the mean of its divisors is an integer number (331851520).

Almost surely, 229620533852 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 29620533852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47786618880).

29620533852 is an abundant number, since it is smaller than the sum of its proper divisors (65952703908).

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

29620533852 is a wasteful number, since it uses less digits than its factorization.

29620533852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 29620533852 in words is "twenty-nine billion, six hundred twenty million, five hundred thirty-three thousand, eight hundred fifty-two".