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212717263054000 = 2453178959451443
BaseRepresentation
bin110000010111011100011000…
…111001101110010010110000
31000220011120102210200120021011
4300113130120321232102300
5210340124423320212000
62032224543412040304
762543213035566205
oct6027343071562260
91026146383616234
10212717263054000
1161861980514821
121ba36045003094
1391901c8772143
143a757db4ddcac
15198d3e68a12ba
hexc17718e6e4b0

212717263054000 has 80 divisors (see below), whose sum is σ = 514637857899360. Its totient is φ = 85039342636800.

The previous prime is 212717263053943. The next prime is 212717263054019. The reversal of 212717263054000 is 450362717212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26147722 + ... + 33303721.

It is an arithmetic number, because the mean of its divisors is an integer number (6432973223742).

Almost surely, 2212717263054000 is an apocalyptic number.

212717263054000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212717263054000 is an abundant number, since it is smaller than the sum of its proper divisors (301920594845360).

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

212717263054000 is a wasteful number, since it uses less digits than its factorization.

212717263054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59453255 (or 59453239 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 212717263054000 in words is "two hundred twelve trillion, seven hundred seventeen billion, two hundred sixty-three million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1789 2000 3578 7156 8945 14312 17890 28624 35780 44725 71560 89450 143120 178900 223625 357800 447250 715600 894500 1789000 3578000 59451443 118902886 237805772 297257215 475611544 594514430 951223088 1189028860 1486286075 2378057720 2972572150 4756115440 5945144300 7431430375 11890288600 14862860750 23780577200 29725721500 59451443000 106358631527 118902886000 212717263054 425434526108 531793157635 850869052216 1063586315270 1701738104432 2127172630540 2658965788175 4254345261080 5317931576350 8508690522160 10635863152700 13294828940875 21271726305400 26589657881750 42543452610800 53179315763500 106358631527000 212717263054000