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86243729481 = 357136758211
BaseRepresentation
bin101000001010010000…
…1101110000001001001
322020121110210101200000
41100110201232001021
52403111343320411
6103341514233213
76142125414360
oct1202441560111
9266543711600
1086243729481
1133637378498
121486aa25809
1381958590c0
1442620b07d7
15239b6ec956
hex141486e049

86243729481 has 96 divisors (see below), whose sum is σ = 161376703488. Its totient is φ = 44811455040.

The previous prime is 86243729479. The next prime is 86243729497. The reversal of 86243729481 is 18492734268.

86243729481 is a `hidden beast` number, since 8 + 624 + 3 + 7 + 2 + 9 + 4 + 8 + 1 = 666.

It is not a de Polignac number, because 86243729481 - 21 = 86243729479 is a prime.

It is a super-2 number, since 2×862437294812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86243729431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1452466 + ... + 1510676.

It is an arithmetic number, because the mean of its divisors is an integer number (1681007328).

Almost surely, 286243729481 is an apocalyptic number.

86243729481 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86243729481 is a deficient number, since it is larger than the sum of its proper divisors (75132974007).

86243729481 is a wasteful number, since it uses less digits than its factorization.

86243729481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58313 (or 58301 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 86243729481 in words is "eighty-six billion, two hundred forty-three million, seven hundred twenty-nine thousand, four hundred eighty-one".

Divisors: 1 3 7 9 13 21 27 39 63 67 81 91 117 189 201 243 273 351 469 567 603 819 871 1053 1407 1701 1809 2457 2613 3159 4221 5427 6097 7371 7839 12663 16281 18291 22113 23517 37989 54873 58211 70551 113967 164619 174633 211653 407477 493857 523899 756743 1222431 1481571 1571697 2270229 3667293 3900137 4715091 5297201 6810687 11001879 11700411 14145273 15891603 20432061 27300959 33005637 35101233 47674809 50701781 61296183 81902877 99016911 105303699 143024427 152105343 183888549 245708631 315911097 354912467 429073281 456316029 737125893 947733291 1064737401 1287219843 1368948087 2211377679 3194212203 4106844261 6634133037 9582636609 12320532783 28747909827 86243729481