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86444182134012 = 22317442499576397
BaseRepresentation
bin10011101001111011011010…
…110001001101110011111100
3102100001222112200102220100210
4103221323122301031303330
542312300141111242022
6503503524204152420
724131246263354053
oct2351733261156374
9370058480386323
1086444182134012
11255a885424612a
129841565838710
1339308611745c1
14174bcc671939a
159ed929002a0c
hex4e9edac4dcfc

86444182134012 has 48 divisors (see below), whose sum is σ = 213572828196000. Its totient is φ = 27119127693312.

The previous prime is 86444182133983. The next prime is 86444182134019. The reversal of 86444182134012 is 21043128144468.

It is a super-2 number, since 2×864441821340122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86444182134019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4238598 + ... + 13814994.

It is an arithmetic number, because the mean of its divisors is an integer number (4449433920750).

Almost surely, 286444182134012 is an apocalyptic number.

It is an amenable number.

86444182134012 is an abundant number, since it is smaller than the sum of its proper divisors (127128646061988).

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

86444182134012 is a wasteful number, since it uses less digits than its factorization.

86444182134012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620670 (or 9620668 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 86444182134012 in words is "eighty-six trillion, four hundred forty-four billion, one hundred eighty-two million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 44249 88498 132747 176996 265494 530988 752233 1504466 2256699 3008932 4513398 9026796 9576397 19152794 28729191 38305588 57458382 114916764 162798749 325597498 488396247 651194996 976792494 1953584988 423745990853 847491981706 1271237972559 1694983963412 2542475945118 5084951890236 7203681844501 14407363689002 21611045533503 28814727378004 43222091067006 86444182134012