Search a number
-
+
20106375648 = 253220395071
BaseRepresentation
bin10010101110011011…
…101111000111100000
31220220020200201012120
4102232123233013200
5312134213010043
613123045224240
71311153241662
oct225633570740
956806621176
1020106375648
118588585687
123a91702080
131b857413c8
14d8a496532
157ca27e983
hex4ae6ef1e0

20106375648 has 48 divisors (see below), whose sum is σ = 52803749376. Its totient is φ = 6699012480.

The previous prime is 20106375647. The next prime is 20106375661. The reversal of 20106375648 is 84657360102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20106375647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 163953 + ... + 259023.

It is an arithmetic number, because the mean of its divisors is an integer number (1100078112).

Almost surely, 220106375648 is an apocalyptic number.

It is an amenable number.

20106375648 is an abundant number, since it is smaller than the sum of its proper divisors (32697373728).

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

20106375648 is a wasteful number, since it uses less digits than its factorization.

20106375648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97287 (or 97279 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20106375648 in words is "twenty billion, one hundred six million, three hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2203 4406 6609 8812 13218 17624 26436 35248 52872 70496 95071 105744 190142 211488 285213 380284 570426 760568 1140852 1521136 2281704 3042272 4563408 9126816 209441413 418882826 628324239 837765652 1256648478 1675531304 2513296956 3351062608 5026593912 6702125216 10053187824 20106375648