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209399971894281 = 34722296932
BaseRepresentation
bin101111100111001010111010…
…111100001101010000001001
31000110102102221002010100010000
4233213022322330031100021
5204421302120301104111
62021205004041513213
762051435340145200
oct5747127274152011
91013372832110100
10209399971894281
11607a30360a7603
121b59b14aaa2809
138cac4429c91ac
14399d026c74237
151931e91961c56
hexbe72baf0d409

209399971894281 has 45 divisors (see below), whose sum is σ = 363879539894871. Its totient is φ = 119656605853008.

The previous prime is 209399971894279. The next prime is 209399971894349. The reversal of 209399971894281 is 182498179993902.

It is a happy number.

The square root of 209399971894281 is 14470659.

It is a perfect power (a square), and thus also a powerful number.

209399971894281 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 9 + 9 + 9 + 7 + 189 + 428 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30120833180025 + 179279138714256 = 5488245^2 + 13389516^2 .

It is not a de Polignac number, because 209399971894281 - 21 = 209399971894279 is a prime.

It is a super-2 number, since 2×2093999718942812 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 209399971894281.

It is not an unprimeable number, because it can be changed into a prime (209399971894081) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 911536671 + ... + 911766363.

Almost surely, 2209399971894281 is an apocalyptic number.

209399971894281 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

209399971894281 is the 14470659-th square number.

209399971894281 is the 7235330-th centered octagonal number.

It is an amenable number.

209399971894281 is a deficient number, since it is larger than the sum of its proper divisors (154479568000590).

209399971894281 is an frugal number, since it uses more digits than its factorization.

209399971894281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459412 (or 229703 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 81.

209399971894281 divided by its sum of digits (81) gives a square (2585184838201 = 16078512).

The spelling of 209399971894281 in words is "two hundred nine trillion, three hundred ninety-nine billion, nine hundred seventy-one million, eight hundred ninety-four thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 229693 689079 1607851 2067237 4823553 6201711 11254957 14470659 18605133 33764871 43411977 101294613 130235931 303883839 911651517 52758874249 158276622747 369312119743 474829868241 1107936359229 1424489604723 2585184838201 3323809077687 4273468814169 7755554514603 9971427233061 23266663543809 29914281699183 69799990631427 209399971894281