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86227134205125 = 35337151263156487
BaseRepresentation
bin10011100110110001010001…
…101101000100110011000101
3102022022020022020110200212210
4103212301101231010303011
542300221132324031000
6503220110521534033
724106463524405344
oct2346612155046305
9368266266420783
1086227134205125
11255247a435a701
129807490944319
133916250c50554
1417415b643db5b
159e7e7408a350
hex4e6c51b44cc5

86227134205125 has 128 divisors (see below), whose sum is σ = 148900700602368. Its totient is φ = 44279278560000.

The previous prime is 86227134205117. The next prime is 86227134205129. The reversal of 86227134205125 is 52150243172268.

It is not a de Polignac number, because 86227134205125 - 23 = 86227134205117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86227134205129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 550939632 + ... + 551096118.

It is an arithmetic number, because the mean of its divisors is an integer number (1163286723456).

Almost surely, 286227134205125 is an apocalyptic number.

It is an amenable number.

86227134205125 is a deficient number, since it is larger than the sum of its proper divisors (62673566397243).

86227134205125 is a wasteful number, since it uses less digits than its factorization.

86227134205125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156956 (or 156946 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 86227134205125 in words is "eighty-six trillion, two hundred twenty-seven billion, one hundred thirty-four million, two hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 111 125 151 185 263 375 453 555 755 789 925 1315 2265 2775 3775 3945 4625 5587 6575 9731 11325 13875 16761 18875 19725 27935 29193 32875 39713 48655 56625 83805 98625 119139 139675 145965 156487 198565 243275 419025 469461 595695 698375 729825 782435 992825 1216375 1469381 2095125 2347305 2978475 3649125 3912175 4408143 4964125 5790019 7346905 11736525 14892375 17370057 19560875 22040715 23629537 28950095 36734525 41156081 58682625 70888611 86850285 110203575 118147685 123468243 144750475 183672625 205780405 354443055 434251425 551017875 590738425 617341215 723752375 874292869 1028902025 1522774997 1772215275 2171257125 2622878607 2953692125 3086706075 4371464345 4568324991 5144510125 6214568231 7613874985 8861076375 13114393035 15433530375 18643704693 21857321725 22841624955 31072841155 38069374925 65571965175 93218523465 109286608625 114208124775 155364205775 190346874625 229939024547 327859825875 466092617325 571040623875 689817073641 776821028875 1149695122735 2330463086625 3449085368205 5748475613675 17245426841025 28742378068375 86227134205125