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86223096510 = 23531712575081
BaseRepresentation
bin101000001001101001…
…1000000101010111110
322020120000222010112220
41100103103000222332
52403041103042020
6103335500110210
76141455141055
oct1202323005276
9266500863486
1086223096510
1133626765651
1214863b35366
1381914b3845
14425d45d39c
1523999c4240
hex14134c0abe

86223096510 has 128 divisors (see below), whose sum is σ = 217505046528. Its totient is φ = 21848064000.

The previous prime is 86223096499. The next prime is 86223096571. The reversal of 86223096510 is 1569032268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16967170 + ... + 16972250.

It is an arithmetic number, because the mean of its divisors is an integer number (1699258176).

Almost surely, 286223096510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86223096510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108752523264).

86223096510 is an abundant number, since it is smaller than the sum of its proper divisors (131281950018).

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

86223096510 is a wasteful number, since it uses less digits than its factorization.

86223096510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 86223096510 in words is "eighty-six billion, two hundred twenty-three million, ninety-six thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 257 310 355 426 465 514 710 771 930 1065 1285 1542 2130 2201 2570 3855 4402 5081 6603 7710 7967 10162 11005 13206 15243 15934 18247 22010 23901 25405 30486 33015 36494 39835 47802 50810 54741 66030 76215 79670 91235 109482 119505 152430 157511 182470 239010 273705 315022 360751 472533 547410 565657 721502 787555 945066 1082253 1131314 1305817 1575110 1696971 1803755 2164506 2362665 2611634 2828285 3393942 3607510 3917451 4725330 5411265 5656570 6529085 7834902 8484855 10822530 11183281 13058170 16969710 19587255 22366562 33549843 39174510 40480327 55916405 67099686 80960654 92713007 111832810 121440981 167749215 185426014 202401635 242881962 278139021 335498430 404803270 463565035 556278042 607204905 927130070 1214409810 1390695105 2781390210 2874103217 5748206434 8622309651 14370516085 17244619302 28741032170 43111548255 86223096510