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20434947900 = 22352197345769
BaseRepresentation
bin10011000010000001…
…001000111100111100
31221202010221220121020
4103002001020330330
5313322321313100
613215423504140
71322253122403
oct230201107474
957663856536
1020434947900
118736aa48a4
123b63758050
131c08834363
14dbbd8663a
157e90345a0
hex4c2048f3c

20434947900 has 72 divisors (see below), whose sum is σ = 59425415280. Its totient is φ = 5421642240.

The previous prime is 20434947851. The next prime is 20434947901. The reversal of 20434947900 is 974943402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434947901) 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, 113785 + ... + 231984.

It is an arithmetic number, because the mean of its divisors is an integer number (825352990).

Almost surely, 220434947900 is an apocalyptic number.

20434947900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434947900 is an abundant number, since it is smaller than the sum of its proper divisors (38990467380).

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

20434947900 is a wasteful number, since it uses less digits than its factorization.

20434947900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345983 (or 345976 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 20434947900 in words is "twenty billion, four hundred thirty-four million, nine hundred forty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 59100 345769 691538 1037307 1383076 1728845 2074614 3457690 4149228 5186535 6915380 8644225 10373070 17288450 20746140 25932675 34576900 51865350 68116493 103730700 136232986 204349479 272465972 340582465 408698958 681164930 817397916 1021747395 1362329860 1702912325 2043494790 3405824650 4086989580 5108736975 6811649300 10217473950 20434947900