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86158744331022 = 23211719976147247
BaseRepresentation
bin10011100101110001100101…
…010110011010001100001110
3102022001200210000212010111200
4103211301211112122030032
542243111102022043042
6503124440345330330
724101523001151316
oct2345614526321416
9368050700763450
1086158744331022
11254a879a025aa0
1297b61851969a6
13390c97227591c
14173c1695d6446
159e62beec8c4c
hex4e5c6559a30e

86158744331022 has 96 divisors (see below), whose sum is σ = 206723393270784. Its totient is φ = 25715159467200.

The previous prime is 86158744330999. The next prime is 86158744331027. The reversal of 86158744331022 is 22013344785168.

86158744331022 is a `hidden beast` number, since 8 + 6 + 1 + 587 + 4 + 4 + 3 + 31 + 0 + 22 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86158744331022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86158744331027) 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 47 ways as a sum of consecutive naturals, for example, 10942203 + ... + 17089449.

It is an arithmetic number, because the mean of its divisors is an integer number (2153368679904).

Almost surely, 286158744331022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86158744331022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103361696635392).

86158744331022 is an abundant number, since it is smaller than the sum of its proper divisors (120564648939762).

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

86158744331022 is a wasteful number, since it uses less digits than its factorization.

86158744331022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148334 (or 6148331 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 86158744331022 in words is "eighty-six trillion, one hundred fifty-eight billion, seven hundred forty-four million, three hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 997 1278 1562 1994 2343 2991 4686 5982 7029 8973 10967 14058 17946 21934 32901 65802 70787 98703 141574 197406 212361 424722 637083 778657 1274166 1557314 2335971 4671942 6147247 7007913 12294494 14015826 18441741 36883482 55325223 67619717 110650446 135239434 202859151 405718302 436454537 608577453 872909074 1217154906 1309363611 2618727222 3928090833 4800999907 6128805259 7856181666 9601999814 12257610518 14402999721 18386415777 28805999442 36772831554 43208999163 55159247331 67416857849 86417998326 110318494662 134833715698 202250573547 404501147094 435145173389 606751720641 870290346778 1213503441282 1305435520167 2610871040334 3916306560501 4786596907279 7832613121002 9573193814558 14359790721837 28719581443674 43079372165511 86158744331022