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86068267050304 = 26711101172922293
BaseRepresentation
bin10011100100011101010100…
…011110111110010101000000
3102021202001020111220001022201
4103210131110132332111000
542240120302331102204
6503015114355242544
724062140615023640
oct2344352436762500
9367661214801281
1086068267050304
112547338aa55930
1297a07345a9454
1339042835c4626
141737a25178520
159e3c76cc09a4
hex4e47547be540

86068267050304 has 112 divisors (see below), whose sum is σ = 215043398061696. Its totient is φ = 33201080064000.

The previous prime is 86068267050281. The next prime is 86068267050307. The reversal of 86068267050304 is 40305076286068.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86068267050307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85963419 + ... + 86958874.

Almost surely, 286068267050304 is an apocalyptic number.

It is an amenable number.

86068267050304 is an abundant number, since it is smaller than the sum of its proper divisors (128975131011392).

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

86068267050304 is a wasteful number, since it uses less digits than its factorization.

86068267050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172922424 (or 172922414 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 86068267050304 in words is "eighty-six trillion, sixty-eight billion, two hundred sixty-seven million, fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 101 112 154 176 202 224 308 352 404 448 616 704 707 808 1111 1232 1414 1616 2222 2464 2828 3232 4444 4928 5656 6464 7777 8888 11312 15554 17776 22624 31108 35552 45248 62216 71104 124432 248864 497728 172922293 345844586 691689172 1210456051 1383378344 1902145223 2420912102 2766756688 3804290446 4841824204 5533513376 7608580892 9683648408 11067026752 13315016561 15217161784 17465151593 19367296816 26630033122 30434323568 34930303186 38734593632 53260066244 60868647136 69860606372 77469187264 106520132488 121737294272 122256061151 139721212744 192116667523 213040264976 244512122302 279442425488 384233335046 426080529952 489024244604 558884850976 768466670092 852161059904 978048489208 1117769701952 1344816672661 1536933340184 1956096978416 2689633345322 3073866680368 3912193956832 5379266690644 6147733360736 7824387913664 10758533381288 12295466721472 21517066762576 43034133525152 86068267050304