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86102666377 = 721321931127139
BaseRepresentation
bin101000000110000011…
…1100110110010001001
322020020122100122110121
41100030013212302021
52402314240311002
6103315514543241
76135463405600
oct1201407466211
9266218318417
1086102666377
113357478a712
121482b737b21
138172568c00
14424b470a37
15238e136237
hex140c1e6c89

86102666377 has 144 divisors (see below), whose sum is σ = 119631052800. Its totient is φ = 61520135040.

The previous prime is 86102666357. The next prime is 86102666389. The reversal of 86102666377 is 77366620168.

It is a happy number.

It is not a de Polignac number, because 86102666377 - 27 = 86102666249 is a prime.

It is a super-2 number, since 2×861026663772 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86102666357) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 619443574 + ... + 619443712.

It is an arithmetic number, because the mean of its divisors is an integer number (830771200).

Almost surely, 286102666377 is an apocalyptic number.

It is an amenable number.

86102666377 is a deficient number, since it is larger than the sum of its proper divisors (33528386423).

86102666377 is a wasteful number, since it uses less digits than its factorization.

86102666377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 86102666377 in words is "eighty-six billion, one hundred two million, six hundred sixty-six thousand, three hundred seventy-seven".

Divisors: 1 7 13 19 31 49 91 127 133 139 169 217 247 403 589 637 889 931 973 1183 1519 1651 1729 1807 2413 2641 2821 3211 3937 4123 4309 5239 6223 6811 7657 8281 11557 12103 12649 16891 17653 18487 19747 21463 22477 23491 27559 28861 30163 31369 34333 36673 51181 53599 56017 74803 80899 81871 88543 99541 118237 123571 129409 150241 157339 164437 192913 211141 219583 229489 240331 256711 335407 358267 375193 392119 407797 446329 523621 547243 573097 665353 696787 728221 864997 972439 1051687 1064323 1151059 1537081 1606423 1682317 2347849 2507869 2744833 2854579 2983357 3124303 3665347 3830701 4011679 4360291 4657471 4877509 5097547 6807073 7114159 7450261 10397617 11244961 12641707 13836199 16434943 19982053 20883499 21870121 26814907 30522037 32602297 35682829 47649511 49799113 52151827 56683783 72783319 88491949 92484067 96853393 135169021 146184493 213654259 348593791 396786481 509483233 619443643 647388469 677973751 946183147 1757197273 2777505367 4531719283 6623282029 12300380911 86102666377