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806028075801 = 3213314110949727
BaseRepresentation
bin10111011101010110000…
…01000110001100011001
32212001111111000201102100
423232223001012030121
5101201221141411201
61414141214554013
7112143061413024
oct13565301061431
92761444021370
10806028075801
1129091a921323
12110269208909
135b014ac5630
142b024ba21bb
1515e77623886
hexbbab046319

806028075801 has 96 divisors (see below), whose sum is σ = 1338025328640. Its totient is φ = 464003251200.

The previous prime is 806028075779. The next prime is 806028075803. The reversal of 806028075801 is 108570820608.

806028075801 is a `hidden beast` number, since 8 + 0 + 60 + 2 + 8 + 0 + 7 + 580 + 1 = 666.

It is not a de Polignac number, because 806028075801 - 27 = 806028075673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (806028075803) 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 95 ways as a sum of consecutive naturals, for example, 16184200 + ... + 16233926.

It is an arithmetic number, because the mean of its divisors is an integer number (13937763840).

Almost surely, 2806028075801 is an apocalyptic number.

It is an amenable number.

806028075801 is a deficient number, since it is larger than the sum of its proper divisors (531997252839).

806028075801 is a wasteful number, since it uses less digits than its factorization.

806028075801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49927 (or 49924 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 806028075801 in words is "eight hundred six billion, twenty-eight million, seventy-five thousand, eight hundred one".

Divisors: 1 3 9 13 31 39 41 93 109 117 123 279 327 369 403 533 981 1209 1271 1417 1599 3379 3627 3813 4251 4469 4797 10137 11439 12753 13407 16523 30411 40221 43927 49569 49727 58097 131781 138539 148707 149181 174291 395343 415617 447543 522873 646451 1246851 1541537 1801007 1939353 2038807 4624611 5403021 5420243 5818059 6116421 13873833 16209063 16260729 18349263 20039981 26504491 48782187 60119943 63203017 70463159 79513473 168027533 180359829 189609051 211389477 222229963 238540419 504082599 568827153 634168431 666689889 821639221 1512247797 2000069667 2184357929 2464917663 2888989519 6553073787 6889128853 7394752989 8666968557 19659221361 20667386559 26000905671 62002159677 89558675089 268676025267 806028075801