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85234143094056 = 233211265099150287
BaseRepresentation
bin10011011000010100011110…
…110100100110010100101000
3102011210022012222111201111200
4103120110132310212110220
542132434011113002211
6501140005204124200
723644651344256665
oct2330243664462450
9364708188451450
1085234143094056
11251816627aa800
129686b46096660
133873711a80888
1417094d6bc8a6c
159cc207ce6b56
hex4d851ed26528

85234143094056 has 144 divisors (see below), whose sum is σ = 253741525128000. Its totient is φ = 25827959593920.

The previous prime is 85234143094013. The next prime is 85234143094099. The reversal of 85234143094056 is 65049034143258.

It is a happy number.

85234143094056 is a `hidden beast` number, since 8 + 5 + 234 + 14 + 309 + 40 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (85234143094013) and next prime (85234143094099).

It is a super-2 number, since 2×852341430940562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85234143093993 and 85234143094011.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 567067345 + ... + 567217631.

It is an arithmetic number, because the mean of its divisors is an integer number (1762093924500).

Almost surely, 285234143094056 is an apocalyptic number.

It is an amenable number.

85234143094056 is an abundant number, since it is smaller than the sum of its proper divisors (168507382033944).

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

85234143094056 is a wasteful number, since it uses less digits than its factorization.

85234143094056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215420 (or 215402 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 85234143094056 in words is "eighty-five trillion, two hundred thirty-four billion, one hundred forty-three million, ninety-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 65099 130198 150287 195297 260396 300574 390594 450861 520792 585891 601148 716089 781188 901722 1171782 1202296 1352583 1432178 1562376 1653157 1803444 2148267 2343564 2705166 2864356 3306314 3606888 4296534 4687128 4959471 5410332 5728712 6444801 6612628 7876979 8593068 9918942 10820664 12889602 13225256 14878413 15753958 17186136 18184727 19837884 23630937 25779204 29756826 31507916 36369454 39675768 47261874 51558408 54554181 59513652 63015832 70892811 72738908 94523748 109108362 119027304 141785622 145477816 163662543 189047496 218216724 283571244 327325086 436433448 567142488 654650172 1309300344 9783533413 19567066826 29350600239 39134133652 58701200478 78268267304 88051800717 107618867543 117402400956 176103601434 215237735086 234804801912 322856602629 352207202868 430475470172 645713205258 704414405736 860950940344 968569807887 1183807542973 1291426410516 1937139615774 2367615085946 2582852821032 3551422628919 3874279231548 4735230171892 7102845257838 7748558463096 9470460343784 10654267886757 14205690515676 21308535773514 28411381031352 42617071547028 85234143094056