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245344431323304 = 2335189697665303
BaseRepresentation
bin110111110010001110110011…
…101011010011100010101000
31012011200200212020222022100000
4313302032303223103202220
5224124210343404321204
62225445401544543000
7102451356503154645
oct6762166353234250
91164620766868300
10245344431323304
11711a0a97402a85
1223625489781a60
13a6b8b5a8ab141
144482a3b904dcc
151d56e896e8039
hexdf23b3ad38a8

245344431323304 has 96 divisors (see below), whose sum is σ = 689089336528320. Its totient is φ = 81780923068416.

The previous prime is 245344431323183. The next prime is 245344431323309. The reversal of 245344431323304 is 403323134443542.

245344431323304 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 4 + 4 + 313 + 23 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245344431323304.

It is not an unprimeable number, because it can be changed into a prime (245344431323309) 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, 368438317 + ... + 369103619.

It is an arithmetic number, because the mean of its divisors is an integer number (7178013922170).

Almost surely, 2245344431323304 is an apocalyptic number.

245344431323304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245344431323304 is an abundant number, since it is smaller than the sum of its proper divisors (443744905205016).

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

245344431323304 is a wasteful number, since it uses less digits than its factorization.

245344431323304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855021 (or 855005 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 45.

Adding to 245344431323304 its reverse (403323134443542), we get a palindrome (648667565766846).

The spelling of 245344431323304 in words is "two hundred forty-five trillion, three hundred forty-four billion, four hundred thirty-one million, three hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 189697 379394 569091 665303 758788 1138182 1330606 1517576 1707273 1995909 2276364 2661212 3414546 3991818 4552728 5121819 5322424 5987727 6829092 7983636 10243638 11975454 13658184 15365457 15967272 17963181 20487276 23950908 30730914 35926362 40974552 46096371 47901816 53889543 61461828 71852724 92192742 107779086 122923656 143705448 161668629 184385484 215558172 323337258 368770968 431116344 646674516 1293349032 126205983191 252411966382 378617949573 504823932764 757235899146 1009647865528 1135853848719 1514471798292 2271707697438 3028943596584 3407561546157 4543415394876 6815123092314 9086830789752 10222684638471 13630246184628 20445369276942 27260492369256 30668053915413 40890738553884 61336107830826 81781477107768 122672215661652 245344431323304