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3485853205146 = 23213171495881093
BaseRepresentation
bin110010101110011101000…
…010101100001010011010
3110100020121002210100102200
4302232131002230022122
5424103011410031041
611225213455511030
7506562456234534
oct62563502541232
913306532710380
103485853205146
111124384292884
124836b9228476
131c3939b22a40
14c0a05350854
1560a1d3e91b6
hex32b9d0ac29a

3485853205146 has 96 divisors (see below), whose sum is σ = 8669908774800. Its totient is φ = 1002702661632.

The previous prime is 3485853205099. The next prime is 3485853205151. The reversal of 3485853205146 is 6415023585843.

3485853205146 is a `hidden beast` number, since 3 + 4 + 8 + 58 + 53 + 20 + 514 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1900799903025 + 1585053302121 = 1378695^2 + 1258989^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3485853205092 and 3485853205101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2347825 + ... + 3533268.

Almost surely, 23485853205146 is an apocalyptic number.

3485853205146 is an abundant number, since it is smaller than the sum of its proper divisors (5184055569654).

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

3485853205146 is a wasteful number, since it uses less digits than its factorization.

3485853205146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881280 (or 5881277 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 3485853205146 in words is "three trillion, four hundred eighty-five billion, eight hundred fifty-three million, two hundred five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 149 153 221 234 298 306 442 447 663 894 1326 1341 1937 1989 2533 2682 3874 3978 5066 5811 7599 11622 15198 17433 22797 32929 34866 45594 65858 98787 197574 296361 592722 5881093 11762186 17643279 35286558 52929837 76454209 99978581 105859674 152908418 199957162 229362627 299935743 458725254 599871486 688087881 876282857 899807229 1299721553 1376175762 1752565714 1799614458 2599443106 2628848571 3899164659 5257697142 7798329318 7886545713 11391677141 11697493977 14896808569 15773091426 22783354282 23394987954 29793617138 34175031423 44690425707 68350062846 89380851414 102525094269 134071277121 193658511397 205050188538 268142554242 387317022794 580975534191 1161951068382 1742926602573 3485853205146