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4346968696434 = 2327213379118149
BaseRepresentation
bin111111010000011011100…
…001100110011001110010
3120101120021201111201112200
4333100123201212121302
51032210042441241214
613124545253204030
7626025636160500
oct77203341463162
916346251451480
104346968696434
1114265a255a761
125a257b030616
13256bc06723c0
1411057437b670
157811bd34d09
hex3f41b866672

4346968696434 has 72 divisors (see below), whose sum is σ = 11798915064300. Its totient is φ = 1146453279552.

The previous prime is 4346968696403. The next prime is 4346968696487.

4346968696434 is a `hidden beast` number, since 4 + 3 + 46 + 9 + 68 + 6 + 96 + 434 = 666.

4346968696434 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4195954850409 + 151013846025 = 2048403^2 + 388605^2 .

It is a super-2 number, since 2×43469686964342 (a number of 26 digits) contains 22 as substring.

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, 189547609 + ... + 189570540.

Almost surely, 24346968696434 is an apocalyptic number.

4346968696434 is an abundant number, since it is smaller than the sum of its proper divisors (7451946367866).

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

4346968696434 is a wasteful number, since it uses less digits than its factorization.

4346968696434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379118184 (or 379118174 counting only the distinct ones).

The product of its digits is 1934917632, while the sum is 72.

The spelling of 4346968696434 in words is "four trillion, three hundred forty-six billion, nine hundred sixty-eight million, six hundred ninety-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 379118149 758236298 1137354447 2274708894 2653827043 3412063341 4928535937 5307654086 6824126682 7961481129 9857071874 14785607811 15922962258 18576789301 23884443387 29571215622 34499751559 37153578602 44356823433 47768886774 55730367903 68999503118 88713646866 103499254677 111460735806 167191103709 206998509354 241498260913 310497764031 334382207418 482996521826 620995528062 724494782739 1448989565478 2173484348217 4346968696434