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85021223473296 = 243211229234388711
BaseRepresentation
bin10011010101001110001011…
…110100101101000010010000
3102011000221122020200022010200
4103111032023310231002100
542120441431202121141
6500454113313455200
723623403114331105
oct2325161364550220
9364027566608120
1085021223473296
11250aa331174280
129651823871500
13385960bc238b6
1416dd098d02aac
159c68e54ebab6
hex4d538bd2d090

85021223473296 has 120 divisors (see below), whose sum is σ = 260705876583360. Its totient is φ = 25651500422400.

The previous prime is 85021223473279. The next prime is 85021223473337. The reversal of 85021223473296 is 69237432212058.

85021223473296 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 1 + 2 + 2 + 347 + 3 + 296 = 666.

It is a super-2 number, since 2×850212234732962 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116831620 + ... + 117557091.

It is an arithmetic number, because the mean of its divisors is an integer number (2172548971528).

It is a 1-persistent number, because it is pandigital, but 2⋅85021223473296 = 170042446946592 is not.

Almost surely, 285021223473296 is an apocalyptic number.

It is an amenable number.

85021223473296 is an abundant number, since it is smaller than the sum of its proper divisors (175684653110064).

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

85021223473296 is a wasteful number, since it uses less digits than its factorization.

85021223473296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234388965 (or 234388956 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 85021223473296 in words is "eighty-five trillion, twenty-one billion, two hundred twenty-three million, four hundred seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 229 264 396 458 528 687 792 916 1374 1584 1832 2061 2519 2748 3664 4122 5038 5496 7557 8244 10076 10992 15114 16488 20152 22671 30228 32976 40304 45342 60456 90684 120912 181368 362736 234388711 468777422 703166133 937554844 1406332266 1875109688 2109498399 2578275821 2812664532 3750219376 4218996798 5156551642 5625329064 7734827463 8437993596 10313103284 11250658128 15469654926 16875987192 20626206568 23204482389 30939309852 33751974384 41252413136 46408964778 53675014819 61878619704 92817929556 107350029638 123757239408 161025044457 185635859112 214700059276 322050088914 371271718224 429400118552 483075133371 590425163009 644100177828 858800237104 966150266742 1180850326018 1288200355656 1771275489027 1932300533484 2361700652036 2576400711312 3542550978054 3864601066968 4723401304072 5313826467081 7085101956108 7729202133936 9446802608144 10627652934162 14170203912216 21255305868324 28340407824432 42510611736648 85021223473296