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85838733378015 = 3567113219933613
BaseRepresentation
bin10011100001000111100011…
…001101100000000111011111
3102020221002202220210100210220
4103201013203031200013133
542222340211221044030
6502321434132132423
724036433556013042
oct2341074315400737
9366832686710726
1085838733378015
11253950031a9602
129764156167113
1338b8733705b27
14172a88c95ac59
159dcce0b38a10
hex4e11e33601df

85838733378015 has 96 divisors (see below), whose sum is σ = 141347246476800. Its totient is φ = 44472335136768.

The previous prime is 85838733377977. The next prime is 85838733378023. The reversal of 85838733378015 is 51087333783858.

It is not a de Polignac number, because 85838733378015 - 26 = 85838733377951 is a prime.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2553719349 + ... + 2553752961.

It is an arithmetic number, because the mean of its divisors is an integer number (1472367150800).

Almost surely, 285838733378015 is an apocalyptic number.

85838733378015 is a deficient number, since it is larger than the sum of its proper divisors (55508513098785).

85838733378015 is a wasteful number, since it uses less digits than its factorization.

85838733378015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34113 (or 34000 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 69.

The spelling of 85838733378015 in words is "eighty-five trillion, eight hundred thirty-eight billion, seven hundred thirty-three million, three hundred seventy-eight thousand, fifteen".

Divisors: 1 3 5 15 67 113 199 201 335 339 565 597 995 1005 1695 2985 7571 12769 13333 22487 22713 33613 37855 38307 39999 63845 66665 67461 100839 112435 113565 168065 191535 199995 337305 504195 855523 1506629 2252071 2541031 2566569 3798269 4277615 4519887 6688987 6756213 7533145 7623093 11260355 11394807 12705155 12832845 18991345 20066961 22599435 33444935 33781065 38115465 56974035 100334805 170249077 254484023 429204397 448162129 510747231 755855531 763452069 851245385 1272420115 1287613191 1344486387 2146021985 2240810645 2267566593 2553736155 3779277655 3817260345 6438065955 6722431935 11337832965 28756694599 50642320577 85411675003 86270083797 143783472995 151926961731 253211602885 256235025009 427058375015 431350418985 759634808655 1281175125045 5722582225201 17167746675603 28612911126005 85838733378015