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85854933945858 = 237116731109248987
BaseRepresentation
bin10011100001010110101000…
…110101110000111000000010
3102020222122120222000110222010
4103201112220311300320002
542223121401042231413
6502333113454353350
724040546204404210
oct2341265065607002
9366878528013863
1085854933945858
11253a0966a84a50
1297673177bb856
1338ba115bb494c
14172b5883bbcb0
159dd43d04bdc3
hex4e15a8d70e02

85854933945858 has 128 divisors (see below), whose sum is σ = 214592120432640. Its totient is φ = 22246679992320.

The previous prime is 85854933945827. The next prime is 85854933945881.

85854933945858 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344692441 + ... + 344941427.

It is an arithmetic number, because the mean of its divisors is an integer number (1676500940880).

Almost surely, 285854933945858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85854933945858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107296060216320).

85854933945858 is an abundant number, since it is smaller than the sum of its proper divisors (128737186486782).

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

85854933945858 is a wasteful number, since it uses less digits than its factorization.

85854933945858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250792.

The product of its digits is 29859840000, while the sum is 84.

The spelling of 85854933945858 in words is "eighty-five trillion, eight hundred fifty-four billion, nine hundred thirty-three million, nine hundred forty-five thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 673 1109 1346 2019 2218 3327 4038 4711 6654 7403 7763 9422 12199 14133 14806 15526 22209 23289 24398 28266 36597 44418 46578 51821 73194 85393 103642 155463 170786 248987 256179 310926 497974 512358 746357 746961 1492714 1493922 1742909 2239071 2738857 3485818 4478142 5224499 5228727 5477714 8209927 8216571 10448998 10457454 15673497 16419854 16433142 19171999 24629781 31346994 38343998 49259562 57469489 57515997 114938978 115031994 167568251 172408467 276126583 335136502 344816934 502704753 552253166 828379749 1005409506 1172977757 1656759498 1843250761 1932886081 2345955514 3037392413 3518933271 3686501522 3865772162 5529752283 5798658243 6074784826 7037866542 9112177239 11059504566 11597316486 12902755327 18224354478 21261746891 25805510654 38708265981 42523493782 63785240673 77416531962 127570481346 185833190359 371666380718 557499571077 1114999142154 1300832332513 2044165093949 2601664665026 3902496997539 4088330187898 6132495281847 7804993995078 12264990563694 14309155657643 28618311315286 42927466972929 85854933945858