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11918834338905 = 3251360733565199
BaseRepresentation
bin1010110101110001000111…
…1000110000110001011001
31120012102121001120022101100
42231130101320300301121
53030234233042321110
641203234212142013
72340051553202034
oct255342170606131
946172531508340
1011918834338905
11388582729634a
121405b49607909
13685c30c274a0
142d2c360d201b
1515a08244abc0
hexad711e30c59

11918834338905 has 48 divisors (see below), whose sum is σ = 22285144627200. Its totient is φ = 5858066876544.

The previous prime is 11918834338889. The next prime is 11918834338907. The reversal of 11918834338905 is 50983343881911.

11918834338905 is a `hidden beast` number, since 1 + 1 + 9 + 188 + 34 + 338 + 90 + 5 = 666.

It is not a de Polignac number, because 11918834338905 - 24 = 11918834338889 is a prime.

It is a super-2 number, since 2×119188343389052 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11918834338907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16427505 + ... + 17137694.

It is an arithmetic number, because the mean of its divisors is an integer number (464273846400).

Almost surely, 211918834338905 is an apocalyptic number.

11918834338905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11918834338905 is a deficient number, since it is larger than the sum of its proper divisors (10366310288295).

11918834338905 is a wasteful number, since it uses less digits than its factorization.

11918834338905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33565830 (or 33565827 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 11918834338905 in words is "eleven trillion, nine hundred eighteen billion, eight hundred thirty-four million, three hundred thirty-eight thousand, nine hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 607 1821 3035 5463 7891 9105 23673 27315 39455 71019 118365 355095 33565199 100695597 167825995 302086791 436347587 503477985 1309042761 1510433955 2181737935 3927128283 6545213805 19635641415 20374075793 61122227379 101870378965 183366682137 264862985309 305611136895 794588955927 916833410685 1324314926545 2383766867781 3972944779635 11918834338905