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10273720000 = 26541012543
BaseRepresentation
bin10011001000101110…
…01000011011000000
3222111222211001101011
421210113020123000
5132020033020000
64415241250304
7512410115305
oct114427103300
928458731334
1010273720000
1143a2279995
121ba8793994
13c7961657b
146d66550ac
15401e2a2ba
hex2645c86c0

10273720000 has 140 divisors (see below), whose sum is σ = 25737836256. Its totient is φ = 4067200000.

The previous prime is 10273719949. The next prime is 10273720001. The reversal of 10273720000 is 2737201.

It is not an unprimeable number, because it can be changed into a prime (10273720001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4038729 + ... + 4041271.

Almost surely, 210273720000 is an apocalyptic number.

10273720000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10273720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868918128).

10273720000 is an abundant number, since it is smaller than the sum of its proper divisors (15464116256).

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

10273720000 is an equidigital number, since it uses as much as digits as its factorization.

10273720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The spelling of 10273720000 in words is "ten billion, two hundred seventy-three million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 2543 3232 4000 4040 5000 5050 5086 6464 8000 8080 10000 10100 10172 12625 12715 16160 20000 20200 20344 25250 25430 32320 40000 40400 40688 50500 50860 63125 63575 80800 81376 101000 101720 126250 127150 161600 162752 202000 203440 252500 254300 256843 317875 404000 406880 505000 508600 513686 635750 808000 813760 1010000 1017200 1027372 1271500 1284215 1589375 2020000 2034400 2054744 2543000 2568430 3178750 4040000 4068800 4109488 5086000 5136860 6357500 6421075 8218976 10172000 10273720 12715000 12842150 16437952 20344000 20547440 25430000 25684300 32105375 41094880 50860000 51368600 64210750 82189760 101720000 102737200 128421500 160526875 205474400 256843000 321053750 410948800 513686000 642107500 1027372000 1284215000 2054744000 2568430000 5136860000 10273720000