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268117065819 = 33171127351817
BaseRepresentation
bin1111100110110100000…
…1011100000001011011
3221122001112120011021000
43321231001130001123
513343100432101234
6323100555120043
725241122312431
oct3715501340133
9848045504230
10268117065819
11a3787103a19
1243b67a43023
131c38b629995
14cd969d2d51
156e935e8899
hex3e6d05c05b

268117065819 has 32 divisors (see below), whose sum is σ = 420621215040. Its totient is φ = 168212146176.

The previous prime is 268117065809. The next prime is 268117065833. The reversal of 268117065819 is 918560711862.

It is a happy number.

268117065819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 268117065819 - 219 = 268116541531 is a prime.

It is a super-2 number, since 2×2681170658192 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268117065809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5148399 + ... + 5200215.

It is an arithmetic number, because the mean of its divisors is an integer number (13144412970).

Almost surely, 2268117065819 is an apocalyptic number.

268117065819 is a deficient number, since it is larger than the sum of its proper divisors (152504149221).

268117065819 is a wasteful number, since it uses less digits than its factorization.

268117065819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63116 (or 63110 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 268117065819 in words is "two hundred sixty-eight billion, one hundred seventeen million, sixty-five thousand, eight hundred nineteen".

Divisors: 1 3 9 17 27 51 153 459 11273 33819 51817 101457 155451 191641 304371 466353 574923 880889 1399059 1724769 2642667 5174307 7928001 23784003 584133041 1752399123 5257197369 9930261697 15771592107 29790785091 89372355273 268117065819