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86427493776 = 2434135129837
BaseRepresentation
bin101000001111101111…
…0101110010110010000
322021002021120120220000
41100133132232112100
52404000414300101
6103412041050000
76146516401341
oct1203736562620
9267067516800
1086427493776
1133721081308
1214900486900
1381c494a480
14427c6680c8
1523ac8eb486
hex141f7ae590

86427493776 has 100 divisors (see below), whose sum is σ = 269388312732. Its totient is φ = 26593069824.

The previous prime is 86427493753. The next prime is 86427493781. The reversal of 86427493776 is 67739472468.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30059237376 + 56368256400 = 173376^2 + 237420^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2548071 + ... + 2581766.

Almost surely, 286427493776 is an apocalyptic number.

It is an amenable number.

86427493776 is an abundant number, since it is smaller than the sum of its proper divisors (182960818956).

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

86427493776 is a wasteful number, since it uses less digits than its factorization.

86427493776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129870 (or 5129855 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 86427493776 in words is "eighty-six billion, four hundred twenty-seven million, four hundred ninety-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 5129837 10259674 15389511 20519348 30779022 41038696 46168533 61558044 66687881 82077392 92337066 123116088 133375762 138505599 184674132 200063643 246232176 266751524 277011198 369348264 400127286 415516797 533503048 554022396 600190929 738696528 800254572 831033594 1067006096 1108044792 1200381858 1600509144 1662067188 1800572787 2216089584 2400763716 3201018288 3324134376 3601145574 4801527432 5401718361 6648268752 7202291148 9603054864 10803436722 14404582296 21606873444 28809164592 43213746888 86427493776