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3813746380785 = 335113225179631
BaseRepresentation
bin110111011111110100111…
…111111000111111110001
3111111120221112122111212000
4313133310333320333301
5444441023033141120
612040002204324213
7542351122240035
oct67376477707761
914446845574760
103813746380785
111240445453850
12517167b43669
132188336a95b3
14d282cb961c5
156930e76c990
hex377f4ff8ff1

3813746380785 has 64 divisors (see below), whose sum is σ = 7396678840320. Its totient is φ = 1849008600000.

The previous prime is 3813746380777. The next prime is 3813746380819. The reversal of 3813746380785 is 5870836473183.

3813746380785 is a `hidden beast` number, since 3 + 8 + 13 + 7 + 463 + 80 + 7 + 85 = 666.

It is not a de Polignac number, because 3813746380785 - 23 = 3813746380777 is a prime.

It is a super-2 number, since 2×38137463807852 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47852920 + ... + 47932550.

It is an arithmetic number, because the mean of its divisors is an integer number (115573106880).

Almost surely, 23813746380785 is an apocalyptic number.

It is an amenable number.

3813746380785 is a deficient number, since it is larger than the sum of its proper divisors (3582932459535).

3813746380785 is a wasteful number, since it uses less digits than its factorization.

3813746380785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111907 (or 111901 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3813746380785 in words is "three trillion, eight hundred thirteen billion, seven hundred forty-six million, three hundred eighty thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 32251 79631 96753 161255 238893 290259 354761 398155 483765 716679 870777 875941 1064283 1194465 1451295 1773805 2150037 2627823 3192849 3583395 4353885 4379705 5321415 7883469 9578547 10750185 13139115 15964245 23650407 39417345 47892735 118252035 2568179381 7704538143 12840896905 23113614429 28249973191 38522690715 69340843287 84749919573 115568072145 141249865955 254249758719 346704216435 423749597865 762749276157 1271248793595 3813746380785