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205352114011425 = 33521913894094609
BaseRepresentation
bin101110101100010001000011…
…110011110011110100100001
3222221002110200220101021212000
4232230101003303303310201
5203403442112141331200
62004425243035154213
761153125550636563
oct5654210363636441
9887073626337760
10205352114011425
115a482384928237
121b0467475a5969
138a7780cba6ca4
14389d1498d5333
1518b1a2e1e8300
hexbac443cf3d21

205352114011425 has 96 divisors (see below), whose sum is σ = 380189452032000. Its totient is φ = 108667620633600.

The previous prime is 205352114011399. The next prime is 205352114011433. The reversal of 205352114011425 is 524110411253502.

205352114011425 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 5 + 211 + 4 + 0 + 11 + 425 = 666.

205352114011425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205352114011425 - 26 = 205352114011361 is a prime.

It is a super-2 number, since 2×2053521140114252 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205352114011425.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48104521 + ... + 52199129.

It is an arithmetic number, because the mean of its divisors is an integer number (3960306792000).

Almost surely, 2205352114011425 is an apocalyptic number.

205352114011425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205352114011425 is a deficient number, since it is larger than the sum of its proper divisors (174837338020575).

205352114011425 is a wasteful number, since it uses less digits than its factorization.

205352114011425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095208 (or 4095197 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 205352114011425 its reverse (524110411253502), we get a palindrome (729462525264927).

The spelling of 205352114011425 in words is "two hundred five trillion, three hundred fifty-two billion, one hundred fourteen million, eleven thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 191 225 389 573 675 955 1167 1719 1945 2865 3501 4775 5157 5835 8595 9725 10503 14325 17505 25785 29175 42975 52515 74299 87525 128925 222897 262575 371495 668691 1114485 1857475 2006073 3343455 4094609 5572425 10030365 12283827 16717275 20473045 36851481 50151825 61419135 102365225 110554443 184257405 307095675 552772215 782070319 921287025 1592802901 2346210957 2763861075 3910351595 4778408703 7038632871 7964014505 11731054785 14335226109 19551757975 21115898613 23892043515 35193164355 39820072525 43005678327 58655273925 71676130545 105579493065 119460217575 175965821775 215028391635 304225354091 358380652725 527897465325 912676062273 1075141958175 1521126770455 2738028186819 4563380311365 7605633852275 8214084560457 13690140934095 22816901556825 41070422802285 68450704670475 205352114011425