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20409408300 = 22352292345909
BaseRepresentation
bin10011000000011111…
…101101101100101100
31221200100220100212010
4103000133231230230
5313244302031200
613213112241220
71321523052051
oct230037555454
957610810763
1020409408300
118723640596
123b570a0210
131c03461678
14db8819028
157e6b8c150
hex4c07edb2c

20409408300 has 72 divisors (see below), whose sum is σ = 61087496400. Its totient is φ = 5254833920.

The previous prime is 20409408241. The next prime is 20409408301. The reversal of 20409408300 is 380490402.

It is a happy number.

It is a super-2 number, since 2×204094083002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20409408301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164255 + ... + 1181654.

It is an arithmetic number, because the mean of its divisors is an integer number (848437450).

Almost surely, 220409408300 is an apocalyptic number.

20409408300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20409408300 is an abundant number, since it is smaller than the sum of its proper divisors (40678088100).

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

20409408300 is a wasteful number, since it uses less digits than its factorization.

20409408300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345955 (or 2345948 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 20409408300 its reverse (380490402), we get a palindrome (20789898702).

The spelling of 20409408300 in words is "twenty billion, four hundred nine million, four hundred eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 2345909 4691818 7037727 9383636 11729545 14075454 23459090 28150908 35188635 46918180 58647725 68031361 70377270 117295450 136062722 140754540 175943175 204094083 234590900 272125444 340156805 351886350 408188166 680313610 703772700 816376332 1020470415 1360627220 1700784025 2040940830 3401568050 4081881660 5102352075 6803136100 10204704150 20409408300