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86544258012212 = 2272111311311272989
BaseRepresentation
bin10011101011011000100111…
…110000011001010000110100
3102100102112212010212020221012
4103223120213300121100310
542320420120022342322
6504021514441411352
724141421251320600
oct2353304760312064
9370375763766835
1086544258012212
1125637239497690
129858a34a99b58
13393a11c600290
141752a9b88c500
15a01334c29ae2
hex4eb627c19434

86544258012212 has 144 divisors (see below), whose sum is σ = 206999030972160. Its totient is φ = 31121942342400.

The previous prime is 86544258012187. The next prime is 86544258012263. The reversal of 86544258012212 is 21221085244568.

It is a super-2 number, since 2×865442580122122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316888214 + ... + 317161202.

It is an arithmetic number, because the mean of its divisors is an integer number (1437493270640).

Almost surely, 286544258012212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86544258012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103499515486080).

86544258012212 is an abundant number, since it is smaller than the sum of its proper divisors (120454772959948).

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

86544258012212 is a wasteful number, since it uses less digits than its factorization.

86544258012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284342 (or 284333 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 50.

The spelling of 86544258012212 in words is "eighty-six trillion, five hundred forty-four billion, two hundred fifty-eight million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 11311 14014 22622 28028 45244 79177 124421 147043 158354 248842 272989 294086 316708 497684 545978 554239 588172 870947 1029301 1091956 1108478 1617473 1741894 1910923 2058602 2216956 3002879 3234946 3483788 3548857 3821846 4117204 6005758 6096629 6469892 7097714 7205107 7643692 11322311 12011516 12193258 13376461 14195428 14410214 21020153 22644622 24386516 24841999 26752922 28820428 39037427 42040306 45289244 49683998 53505844 78074854 79256177 84080612 99367996 147141071 156149708 158512354 173893993 273261989 294282142 317024708 347787986 546523978 588564284 695575972 1093047956 1912833923 3087778579 3825667846 6175557158 7651335692 12351114316 21614450053 33965564369 40141121527 43228900106 67931128738 80282243054 86457800212 135862257476 151301150371 160564486108 237758950583 280987850689 302602300742 441552336797 475517901166 561975701378 605204601484 883104673594 951035802332 1123951402756 1664312654081 1766209347188 1966914954823 3090866357579 3328625308162 3933829909646 6181732715158 6657250616324 7867659819292 12363465430316 21636064503053 43272129006106 86544258012212