Search a number
-
+
29639266020 = 2232572132311239
BaseRepresentation
bin11011100110101000…
…110100111011100100
32211111121111201101100
4123212220310323210
5441200123003040
621341024200100
72066326414200
oct334650647344
984447451340
1029639266020
111162a658281
1258b2169030
132a44721240
141612585b00
15b8711eb30
hex6e6a34ee4

29639266020 has 432 divisors, whose sum is σ = 117536590080. Its totient is φ = 5981133312.

The previous prime is 29639265977. The next prime is 29639266037. The reversal of 29639266020 is 2066293692.

It is a happy number.

29639266020 is a `hidden beast` number, since 2 + 9 + 6 + 39 + 2 + 6 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 2631561 + ... + 2642799.

It is an arithmetic number, because the mean of its divisors is an integer number (272075440).

Almost surely, 229639266020 is an apocalyptic number.

29639266020 is a gapful number since it is divisible by the number (20) 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 29639266020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58768295040).

29639266020 is an abundant number, since it is smaller than the sum of its proper divisors (87897324060).

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

29639266020 is a wasteful number, since it uses less digits than its factorization.

29639266020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 29639266020 in words is "twenty-nine billion, six hundred thirty-nine million, two hundred sixty-six thousand, twenty".