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85234511543258 = 271134945712312819
BaseRepresentation
bin10011011000010100110100…
…110010000111101111011010
3102011210100011122210212210102
4103120110310302013233122
542132440234423341013
6501140105525215402
723644663440113630
oct2330246462075732
9364710148725712
1085234511543258
1125181831786080
129687029561562
1338737701c635c
14170952dad9350
159cc22a326d58
hex4d8534c87bda

85234511543258 has 128 divisors (see below), whose sum is σ = 160393153536000. Its totient is φ = 33002089459200.

The previous prime is 85234511543257. The next prime is 85234511543297.

85234511543258 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (85234511543257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30235724573 + ... + 30235727391.

It is an arithmetic number, because the mean of its divisors is an integer number (1253071512000).

Almost surely, 285234511543258 is an apocalyptic number.

85234511543258 is a deficient number, since it is larger than the sum of its proper divisors (75158641992742).

85234511543258 is a wasteful number, since it uses less digits than its factorization.

85234511543258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876.

The product of its digits is 23040000, while the sum is 56.

The spelling of 85234511543258 in words is "eighty-five trillion, two hundred thirty-four billion, five hundred eleven million, five hundred forty-three thousand, two hundred fifty-eight".

Divisors: 1 2 7 11 14 22 77 154 349 457 698 914 1231 2443 2462 2819 3199 3839 4886 5027 5638 6398 7678 8617 10054 13541 17234 19733 26873 27082 31009 35189 39466 53746 62018 70378 94787 159493 189574 217063 318986 429619 434126 562567 859238 983831 1116451 1125134 1288283 1754423 1967662 2232902 2576566 3007333 3470189 3508846 3937969 4725809 6014666 6188237 6886817 6940378 7875938 9017981 9451618 10822141 12280961 12376474 13773634 14171113 18035962 21644282 24291323 24561922 28342226 33080663 38172079 43317659 48582646 66161326 75754987 76344158 86635318 99197791 151509974 196335883 198395582 267204553 392671766 449610767 534409106 899221534 1211095961 1374351181 1585876373 2159694713 2422191922 2748702362 3147275369 3171752746 4319389426 4945718437 6294550738 8477671727 9891436874 11101134611 13322055571 15117862991 16955343454 17444640103 22202269222 26644111142 30235725982 34620029059 34889280206 69240058118 93254388997 122112480721 186508777994 244224961442 553470854177 1106941708354 3874295979239 6088179395947 7748591958478 12176358791894 42617255771629 85234511543258