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84335322353348 = 221119269375016997
BaseRepresentation
bin10011001011001111011000…
…111011100100111011000100
3102001121101012121201012220102
4103023033120323210323010
542023222220010301343
6455211040124223232
723523011623112123
oct2313173073447304
9361541177635812
1084335322353348
112496545593a970
12956090099ab18
133809a2c706641
1416b7bcc293aba
159b3b4e0aa3b8
hex4cb3d8ee4ec4

84335322353348 has 48 divisors (see below), whose sum is σ = 170107710292800. Its totient is φ = 36181639774080.

The previous prime is 84335322353279. The next prime is 84335322353389.

84335322353348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×843353223533482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84335322353293 and 84335322353302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187283615 + ... + 187733382.

It is an arithmetic number, because the mean of its divisors is an integer number (3543910631100).

Almost surely, 284335322353348 is an apocalyptic number.

It is an amenable number.

84335322353348 is an abundant number, since it is smaller than the sum of its proper divisors (85772387939452).

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

84335322353348 is a wasteful number, since it uses less digits than its factorization.

84335322353348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375017300 (or 375017298 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 56.

The spelling of 84335322353348 in words is "eighty-four trillion, three hundred thirty-five billion, three hundred twenty-two million, three hundred fifty-three thousand, three hundred forty-eight".

Divisors: 1 2 4 11 19 22 38 44 76 209 269 418 538 836 1076 2959 5111 5918 10222 11836 20444 56221 112442 224884 375016997 750033994 1500067988 4125186967 7125322943 8250373934 14250645886 16500747868 28501291772 78378552373 100879572193 156757104746 201759144386 313514209492 403518288772 1109675294123 1916711871667 2219350588246 3833423743334 4438701176492 7666847486668 21083830588337 42167661176674 84335322353348