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221268493382904 = 23331193126470279
BaseRepresentation
bin110010010011111000010101…
…111100101011010011111000
31002000110001122202012000222000
4302103320111330223103320
5213000230333301223104
62102333201555101000
764415056352234442
oct6223702574532370
91060401582160860
10221268493382904
1164559494069850
12209973968a1760
1396606b6106b46
143c8d648c79492
151a8aa7bd1b639
hexc93e15f2b4f8

221268493382904 has 64 divisors (see below), whose sum is σ = 670510586016000. Its totient is φ = 67051058600160.

The previous prime is 221268493382887. The next prime is 221268493382917. The reversal of 221268493382904 is 409283394862122.

221268493382904 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 6 + 8 + 4 + 9 + 338 + 290 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46563232764 + ... + 46563237515.

It is an arithmetic number, because the mean of its divisors is an integer number (10476727906500).

Almost surely, 2221268493382904 is an apocalyptic number.

221268493382904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221268493382904 is an abundant number, since it is smaller than the sum of its proper divisors (449242092633096).

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

221268493382904 is a wasteful number, since it uses less digits than its factorization.

221268493382904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93126470305 (or 93126470295 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 221268493382904 in words is "two hundred twenty-one trillion, two hundred sixty-eight billion, four hundred ninety-three million, three hundred eighty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 93126470279 186252940558 279379410837 372505881116 558758821674 745011762232 838138232511 1024391173069 1117517643348 1676276465022 2048782346138 2235035286696 2514414697533 3073173519207 3352552930044 4097564692276 5028829395066 6146347038414 6705105860088 8195129384552 9219520557621 10057658790132 12292694076828 18439041115242 20115317580264 24585388153656 27658561672863 36878082230484 55317123345726 73756164460968 110634246691452 221268493382904