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86025130345 = 57211172964747
BaseRepresentation
bin101000000011101111…
…1110101000101101001
322020001020110102000201
41100013133311011221
52402134413132340
6103304105032201
76133532354200
oct1200737650551
9266036412021
1086025130345
1133534a41750
1214809785661
13815c48c1bb
14424104a237
15238741c79a
hex14077f5169

86025130345 has 96 divisors (see below), whose sum is σ = 143491927680. Its totient is φ = 48730429440.

The previous prime is 86025130343. The next prime is 86025130349. The reversal of 86025130345 is 54303152068.

It is not a de Polignac number, because 86025130345 - 21 = 86025130343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86025130343) 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, 1296262 + ... + 1361008.

It is an arithmetic number, because the mean of its divisors is an integer number (1494707580).

Almost surely, 286025130345 is an apocalyptic number.

86025130345 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86025130345 is a deficient number, since it is larger than the sum of its proper divisors (57466797335).

86025130345 is a wasteful number, since it uses less digits than its factorization.

86025130345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64823 (or 64816 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 86025130345 in words is "eighty-six billion, twenty-five million, one hundred thirty thousand, three hundred forty-five".

Divisors: 1 5 7 11 17 29 35 49 55 77 85 119 145 187 203 245 319 385 493 539 595 833 935 1015 1309 1421 1595 2233 2465 2695 3451 4165 5423 6545 7105 9163 11165 15631 17255 24157 27115 37961 45815 64747 78155 120785 189805 265727 323735 453229 712217 1100699 1328635 1877663 2266145 3172603 3561085 4985519 5503495 7704893 9388315 12107689 13143641 15863015 20654293 24927595 31920271 34898633 38524465 53934251 60538445 65718205 84753823 92005487 103271465 144580051 159601355 174493165 223441897 269671255 351122981 423769115 460027435 593276761 722900255 1012060357 1117209485 1564093279 1755614905 2457860867 2966383805 5060301785 7820466395 12289304335 17205026069 86025130345