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86221880886264 = 233192232341736209
BaseRepresentation
bin10011100110101100011000…
…100101010000001111111000
3102022021201202010102110011120
4103212230120211100033320
542300124403001330024
6503213441341025240
724106216405054044
oct2346543045201770
9368251663373146
1086221880886264
1125522548a62472
129806465555220
1339158c4789756
14174123887b024
159e7c67c96479
hex4e6b189503f8

86221880886264 has 128 divisors (see below), whose sum is σ = 227933201664000. Its totient is φ = 27103957807104.

The previous prime is 86221880886247. The next prime is 86221880886299. The reversal of 86221880886264 is 46268808812268.

It is a congruent 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, 2381209792 + ... + 2381246000.

It is an arithmetic number, because the mean of its divisors is an integer number (1780728138000).

Almost surely, 286221880886264 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 86221880886264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113966600832000).

86221880886264 is an abundant number, since it is smaller than the sum of its proper divisors (141711320777736).

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

86221880886264 is a wasteful number, since it uses less digits than its factorization.

86221880886264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59877 (or 59873 counting only the distinct ones).

The product of its (nonzero) digits is 226492416, while the sum is 69.

The spelling of 86221880886264 in words is "eighty-six trillion, two hundred twenty-one billion, eight hundred eighty million, eight hundred eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 223 228 446 456 669 892 1338 1784 2676 4237 5352 8474 12711 16948 23417 25422 33896 36209 46834 50844 70251 72418 93668 101688 108627 140502 144836 187336 217254 281004 289672 434508 444923 562008 687971 869016 889846 1334769 1375942 1779692 2063913 2669538 2751884 3559384 4127826 5221991 5339076 5503768 8074607 8255652 10443982 10678152 15665973 16149214 16511304 20887964 24223821 31331946 32298428 41775928 48447642 62663892 64596856 96895284 99217829 125327784 153417533 193790568 198435658 297653487 306835066 396871316 460252599 595306974 613670132 793742632 847906153 920505198 1190613948 1227340264 1695812306 1841010396 2381227896 2543718459 3391624612 3682020792 5087436918 6783249224 10174873836 16110216907 20349747672 32220433814 48330650721 64440867628 96661301442 128881735256 189083072119 193322602884 378166144238 386645205768 567249216357 756332288476 1134498432714 1512664576952 2268996865428 3592578370261 4537993730856 7185156740522 10777735110783 14370313481044 21555470221566 28740626962088 43110940443132 86221880886264