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86815145142 = 23311592477177
BaseRepresentation
bin101000011011010010…
…1011111110010110110
322022002022000022121000
41100312211133302312
52410244134121032
6103514325504130
76162234362265
oct1206645376266
9268068008530
1086815145142
11338aa982540
12149aa272046
13825705718b
1442b7d365dc
1523d1970e7c
hex143695fcb6

86815145142 has 64 divisors (see below), whose sum is σ = 214028179200. Its totient is φ = 25861717440.

The previous prime is 86815145129. The next prime is 86815145149. The reversal of 86815145142 is 24154151868.

86815145142 is a `hidden beast` number, since 8 + 6 + 8 + 151 + 451 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86815145149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203543 + ... + 1273634.

It is an arithmetic number, because the mean of its divisors is an integer number (3344190300).

Almost surely, 286815145142 is an apocalyptic number.

86815145142 is an abundant number, since it is smaller than the sum of its proper divisors (127213034058).

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

86815145142 is a wasteful number, since it uses less digits than its factorization.

86815145142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477258 (or 2477252 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 86815145142 in words is "eighty-six billion, eight hundred fifteen million, one hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1947 3186 3894 5841 11682 17523 35046 2477177 4954354 7431531 14863062 22294593 27248947 44589186 54497894 66883779 81746841 133767558 146153443 163493682 245240523 292306886 438460329 490481046 735721569 876920658 1315380987 1471443138 1607687873 2630761974 3215375746 3946142961 4823063619 7892285922 9646127238 14469190857 28938381714 43407572571 86815145142