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86140354625 = 53131917316127
BaseRepresentation
bin101000000111001011…
…1011000000001000001
322020100021021102000122
41100032113120001001
52402403412322000
6103323342430025
76136431635063
oct1201627300101
9266307242018
1086140354625
1133593a91426
1214840292315
13817a303450
144252481733
1523925cd085
hex140e5d8041

86140354625 has 64 divisors (see below), whose sum is σ = 122577960960. Its totient is φ = 59911315200.

The previous prime is 86140354583. The next prime is 86140354637. The reversal of 86140354625 is 52645304168.

It is not a de Polignac number, because 86140354625 - 28 = 86140354369 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5333312 + ... + 5349438.

It is an arithmetic number, because the mean of its divisors is an integer number (1915280640).

Almost surely, 286140354625 is an apocalyptic number.

It is an amenable number.

86140354625 is a deficient number, since it is larger than the sum of its proper divisors (36437606335).

86140354625 is a wasteful number, since it uses less digits than its factorization.

86140354625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16347 (or 16337 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 86140354625 in words is "eighty-six billion, one hundred forty million, three hundred fifty-four thousand, six hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 125 173 247 325 475 865 1235 1625 2249 2375 3287 4325 6175 11245 16127 16435 21625 30875 42731 56225 80635 82175 209651 213655 281125 306413 403175 410875 1048255 1068275 1532065 2015875 2789971 3983369 5241275 5341375 7660325 13949855 19916845 26206375 36269623 38301625 53009449 69749275 99584225 181348115 265047245 348746375 497921125 689122837 906740575 1325236225 3445614185 4533702875 6626181125 17228070925 86140354625