Search a number
-
+
20106939528 = 233313471311163
BaseRepresentation
bin10010101110011101…
…111000110010001000
31220220021202100201000
4102232131320302020
5312134334031103
613123105255000
71311161110644
oct225635706210
956807670630
1020106939528
1185889302a5
123a91934460
131b858aac70
14d8a5a1c24
157ca341aa3
hex4ae778c88

20106939528 has 256 divisors, whose sum is σ = 61950873600. Its totient is φ = 6003728640.

The previous prime is 20106939521. The next prime is 20106939539. The reversal of 20106939528 is 82593960102.

20106939528 is a `hidden beast` number, since 20 + 10 + 6 + 93 + 9 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (20106939521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17288275 + ... + 17289437.

It is an arithmetic number, because the mean of its divisors is an integer number (241995600).

Almost surely, 220106939528 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 20106939528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30975436800).

20106939528 is an abundant number, since it is smaller than the sum of its proper divisors (41843934072).

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

20106939528 is a wasteful number, since it uses less digits than its factorization.

20106939528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20106939528 in words is "twenty billion, one hundred six million, nine hundred thirty-nine thousand, five hundred twenty-eight".