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86468000010 = 23574110042741
BaseRepresentation
bin101000010000111100…
…1001111100100001010
322021012002210111222220
41100201321033210022
52404041302000020
6103420045154510
76150520605330
oct1204171174412
9267162714886
1086468000010
1133741a28237
1214911b5ba36
138200160562
144283badb50
1523b124d240
hex1421e4f90a

86468000010 has 64 divisors (see below), whose sum is σ = 242954014464. Its totient is φ = 19282060800.

The previous prime is 86468000009. The next prime is 86468000033. The reversal of 86468000010 is 1000086468.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5012761 + ... + 5029980.

It is an arithmetic number, because the mean of its divisors is an integer number (3796156476).

Almost surely, 286468000010 is an apocalyptic number.

86468000010 is an abundant number, since it is smaller than the sum of its proper divisors (156486014454).

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

86468000010 is a wasteful number, since it uses less digits than its factorization.

86468000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10042799.

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 86468000010 its reverse (1000086468), we get a palindrome (87468086478).

The spelling of 86468000010 in words is "eighty-six billion, four hundred sixty-eight million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2870 4305 8610 10042741 20085482 30128223 50213705 60256446 70299187 100427410 140598374 150641115 210897561 301282230 351495935 411752381 421795122 702991870 823504762 1054487805 1235257143 2058761905 2108975610 2470514286 2882266667 4117523810 5764533334 6176285715 8646800001 12352571430 14411333335 17293600002 28822666670 43234000005 86468000010