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83906300255791 = 13317379145324847
BaseRepresentation
bin10011000100111111110101…
…001110001001111000101111
3102000002100211022221112111111
4103010333311032021320233
541444210100331141131
6454242004443532451
723450013224336566
oct2304776516117057
9360070738845444
1083906300255791
112480a50a075082
1294b172a22a127
1337a843a4a4310
1416a112d8c0bdd
159a78de851ab1
hex4c4ff5389e2f

83906300255791 has 64 divisors (see below), whose sum is σ = 95819867422720. Its totient is φ = 72937806289920.

The previous prime is 83906300255779. The next prime is 83906300255807. The reversal of 83906300255791 is 19755200360938.

It is not a de Polignac number, because 83906300255791 - 27 = 83906300255663 is a prime.

It is a super-2 number, since 2×839063002557912 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83906300255761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3376906330 + ... + 3376931176.

It is an arithmetic number, because the mean of its divisors is an integer number (1497185428480).

Almost surely, 283906300255791 is an apocalyptic number.

83906300255791 is a deficient number, since it is larger than the sum of its proper divisors (11913567166929).

83906300255791 is a wasteful number, since it uses less digits than its factorization.

83906300255791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26496.

The product of its (nonzero) digits is 12247200, while the sum is 58.

The spelling of 83906300255791 in words is "eighty-three trillion, nine hundred six billion, three hundred million, two hundred fifty-five thousand, seven hundred ninety-one".

Divisors: 1 13 31 73 79 403 949 1027 1453 2263 2449 5767 18889 24847 29419 31837 45043 74971 106069 114787 178777 323011 585559 770257 1378897 1492231 1813831 1962913 2324101 3288139 3558397 8379451 10013341 23579803 25517869 36102691 42745807 46259161 56228761 60850303 108932863 143292649 259762981 469334983 730973893 791053939 1119183421 1862804437 2635496443 2852112589 3376918753 4442072119 14549384473 34261453759 37077463657 57746937547 81700389733 88415490259 208204218997 1062105066529 1149401373367 2706654846961 6454330788907 83906300255791