Search a number
-
+
20470798800 = 2432525686333
BaseRepresentation
bin10011000100001001…
…111001100111010000
31221211122102022210100
4103010021321213100
5313411011030200
613223144132400
71323166630104
oct230411714720
957748368710
1020470798800
118755261141
123b73767100
131c130a74ca
14dc2a39904
157ec266d00
hex4c42799d0

20470798800 has 90 divisors (see below), whose sum is σ = 71039370662. Its totient is φ = 5458878720.

The previous prime is 20470798783. The next prime is 20470798801. The reversal of 20470798800 is 889707402.

It can be written as a sum of positive squares in 3 ways, for example, as 263607696 + 20207191104 = 16236^2 + 142152^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20470798801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2839567 + ... + 2846766.

Almost surely, 220470798800 is an apocalyptic number.

20470798800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20470798800 is an abundant number, since it is smaller than the sum of its proper divisors (50568571862).

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

20470798800 is a wasteful number, since it uses less digits than its factorization.

20470798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686357 (or 5686343 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 20470798800 in words is "twenty billion, four hundred seventy million, seven hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 5686333 11372666 17058999 22745332 28431665 34117998 45490664 51176997 56863330 68235996 85294995 90981328 102353994 113726660 136471992 142158325 170589990 204707988 227453320 255884985 272943984 284316650 341179980 409415976 426474975 454906640 511769970 568633300 682359960 818831952 852949950 1023539940 1137266600 1279424925 1364719920 1705899900 2047079880 2274533200 2558849850 3411799800 4094159760 5117699700 6823599600 10235399400 20470798800