Search a number
-
+
20105082300660 = 2235747869243573
BaseRepresentation
bin1001001001001000101000…
…10010011110100011110100
32122012000201202100110202020
410210210110102132203310
510113400202032110120
6110432051452313140
74143354452602320
oct444442422364364
978160652313666
1020105082300660
116451576902915
1223085bb4727b0
13b2ab93a09676
144d713c284980
1524cea5382640
hex12491449e8f4

20105082300660 has 48 divisors (see below), whose sum is σ = 64336263363456. Its totient is φ = 4595447382912.

The previous prime is 20105082300623. The next prime is 20105082300661. The reversal of 20105082300660 is 6600328050102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20105082300661) 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 15 ways as a sum of consecutive naturals, for example, 23934621367 + ... + 23934622206.

It is an arithmetic number, because the mean of its divisors is an integer number (1340338820072).

Almost surely, 220105082300660 is an apocalyptic number.

20105082300660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20105082300660 is an abundant number, since it is smaller than the sum of its proper divisors (44231181062796).

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

20105082300660 is a wasteful number, since it uses less digits than its factorization.

20105082300660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47869243592 (or 47869243590 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 20105082300660 in words is "twenty trillion, one hundred five billion, eighty-two million, three hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 47869243573 95738487146 143607730719 191476974292 239346217865 287215461438 335084705011 478692435730 574430922876 670169410022 718038653595 957384871460 1005254115033 1340338820044 1436077307190 1675423525055 2010508230066 2872154614380 3350847050110 4021016460132 5026270575165 6701694100220 10052541150330 20105082300660