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3494136985056 = 25335003808343
BaseRepresentation
bin110010110110001010110…
…010110011010111100000
3110101000222102011222012000
4302312022302303113200
5424221443032010211
611233103454004000
7510304654220424
oct62661262632740
913330872158160
103494136985056
111127945266283
1248522b4a6600
131c465a0a4b63
14c118d5a8b84
1560d5579c656
hex32d8acb35e0

3494136985056 has 96 divisors (see below), whose sum is σ = 10193282507520. Its totient is φ = 1164478084992.

The previous prime is 3494136985051. The next prime is 3494136985069. The reversal of 3494136985056 is 6505896314943.

3494136985056 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 1 + 36 + 98 + 505 + 6 = 666.

3494136985056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3494136984984 and 3494136985002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3494136985051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3918421 + ... + 4726763.

It is an arithmetic number, because the mean of its divisors is an integer number (106180026120).

Almost surely, 23494136985056 is an apocalyptic number.

3494136985056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3494136985056 is an abundant number, since it is smaller than the sum of its proper divisors (6699145522464).

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

3494136985056 is a wasteful number, since it uses less digits than its factorization.

3494136985056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813365 (or 813351 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 3494136985056 in words is "three trillion, four hundred ninety-four billion, one hundred thirty-six million, nine hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5003 10006 15009 20012 30018 40024 45027 60036 80048 90054 120072 135081 160096 180108 240144 270162 360216 480288 540324 720432 808343 1080648 1440864 1616686 2161296 2425029 3233372 4322592 4850058 6466744 7275087 9700116 12933488 14550174 19400232 21825261 25866976 29100348 38800464 43650522 58200696 77600928 87301044 116401392 174602088 232802784 349204176 698408352 4044140029 8088280058 12132420087 16176560116 24264840174 32353120232 36397260261 48529680348 64706240464 72794520522 97059360696 109191780783 129412480928 145589041044 194118721392 218383561566 291178082088 388237442784 436767123132 582356164176 873534246264 1164712328352 1747068492528 3494136985056