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682240194731934 = 233172332312219131
BaseRepresentation
bin1001101100011111100110110…
…0011101010101111110011110
310022110121112012012100200022000
42123013321230131111332132
51203410310404322410214
610415000452500503130
7263463141011420136
oct23307715435257636
93273545165320260
10682240194731934
11188423494a63093
12646268789aaaa6
132338ac88736107
14c06885cb71ac6
1553d1976ba8809
hex26c7e6c755f9e

682240194731934 has 64 divisors (see below), whose sum is σ = 1675065439802880. Its totient is φ = 204730220407680.

The previous prime is 682240194731933. The next prime is 682240194731939. The reversal of 682240194731934 is 439137491042286.

682240194731934 is a `hidden beast` number, since 6 + 8 + 2 + 240 + 1 + 9 + 47 + 319 + 34 = 666.

It is a super-2 number, since 2×6822401947319342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682240194731933) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16156088452 + ... + 16156130679.

It is an arithmetic number, because the mean of its divisors is an integer number (26172897496920).

Almost surely, 2682240194731934 is an apocalyptic number.

682240194731934 is an abundant number, since it is smaller than the sum of its proper divisors (992825245070946).

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

682240194731934 is a wasteful number, since it uses less digits than its factorization.

682240194731934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32312219182 (or 32312219176 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 682240194731934 in words is "six hundred eighty-two trillion, two hundred forty billion, one hundred ninety-four million, seven hundred thirty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2346 3519 7038 10557 21114 32312219131 64624438262 96936657393 193873314786 290809972179 549307725227 581619944358 743181040013 872429916537 1098615450454 1486362080026 1647923175681 1744859833074 2229543120039 3295846351362 4459086240078 4943769527043 6688629360117 9887539054086 12634077680221 13377258720234 14831308581129 20065888080351 25268155360442 29662617162258 37902233040663 40131776160702 75804466081326 113706699121989 227413398243978 341120097365967 682240194731934