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162680268268008 = 233217909126162721
BaseRepresentation
bin100100111111010011110011…
…100110100010000111101000
3210100000002012121022110020100
4210333103303212202013220
5132310323142134034013
61333554141124025400
746160155462514121
oct4477236346420750
9710002177273210
10162680268268008
114792035040a437
12162b4638832260
136ca08b678846a
142c25aa48cb048
1513c1a48ecd473
hex93f4f39a21e8

162680268268008 has 48 divisors (see below), whose sum is σ = 440616998448900. Its totient is φ = 54223727754240.

The previous prime is 162680268268003. The next prime is 162680268268027. The reversal of 162680268268008 is 800862862086261.

162680268268008 is a `hidden beast` number, since 16 + 26 + 80 + 268 + 268 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162679872178404 + 396089604 = 12754602^2 + 19902^2 .

It is not an unprimeable number, because it can be changed into a prime (162680268268003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61791913 + ... + 64370808.

Almost surely, 2162680268268008 is an apocalyptic number.

162680268268008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162680268268008 is an abundant number, since it is smaller than the sum of its proper divisors (277936730180892).

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

162680268268008 is a wasteful number, since it uses less digits than its factorization.

162680268268008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126180642 (or 126180635 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 162680268268008 in words is "one hundred sixty-two trillion, six hundred eighty billion, two hundred sixty-eight million, two hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17909 35818 53727 71636 107454 143272 161181 214908 322362 429816 644724 1289448 126162721 252325442 378488163 504650884 756976326 1009301768 1135464489 1513952652 2270928978 3027905304 4541857956 9083715912 2259448170389 4518896340778 6778344511167 9037792681556 13556689022334 18075585363112 20335033533501 27113378044668 40670067067002 54226756089336 81340134134004 162680268268008