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86383417127772 = 223239277239345439
BaseRepresentation
bin10011101001000010110100…
…111001000111001101011100
3102022212011200212100202100010
4103221002310321013031130
542310301214241042042
6503415554411203220
724123665414340342
oct2351026471071534
9368764625322303
1086383417127772
1125585001a59606
129831827746510
133927bc90974cb
141748da0409992
159ec06e53b59c
hex4e90b4e4735c

86383417127772 has 96 divisors (see below), whose sum is σ = 203224721817600. Its totient is φ = 28557909499392.

The previous prime is 86383417127767. The next prime is 86383417127773. The reversal of 86383417127772 is 27772171438368.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86383417127773) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1901062629 + ... + 1901108067.

It is an arithmetic number, because the mean of its divisors is an integer number (2116924185600).

Almost surely, 286383417127772 is an apocalyptic number.

It is an amenable number.

86383417127772 is an abundant number, since it is smaller than the sum of its proper divisors (116841304689828).

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

86383417127772 is a wasteful number, since it uses less digits than its factorization.

86383417127772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48355 (or 48353 counting only the distinct ones).

The product of its digits is 132765696, while the sum is 66.

The spelling of 86383417127772 in words is "eighty-six trillion, three hundred eighty-three billion, four hundred seventeen million, one hundred twenty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 239 277 478 554 717 831 956 1108 1434 1662 2393 2868 3324 4786 7179 9572 14358 28716 45439 66203 90878 132406 136317 181756 198609 264812 272634 397218 545268 571927 662861 794436 1143854 1325722 1715781 1988583 2287708 2651444 3431562 3977166 6863124 7954332 10859921 12586603 21719842 25173206 32579763 37759809 43439684 50346412 65159526 75519618 108735527 130319052 151039236 158423779 217471054 316847558 326206581 434942108 475271337 633695116 652413162 950542674 1304826324 1901085348 3008198117 6016396234 9024594351 12032792468 18049188702 25987790953 30119740979 36098377404 51975581906 60239481958 77963372859 90359222937 103951163812 120478963916 155926745718 180718445874 311853491436 361436891748 7198618093981 14397236187962 21595854281943 28794472375924 43191708563886 86383417127772