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31686342237 = 33112194571117
BaseRepresentation
bin11101100000101001…
…110011011001011101
310000210021102222001000
4131200221303121131
51004343200422422
622320112140513
72201134315344
oct354051633135
9100707388030
1031686342237
1112490128a00
126183837739
132cac86bc44
1417683b6b5b
15c56bd0cac
hex760a7365d

31686342237 has 96 divisors (see below), whose sum is σ = 54481481600. Its totient is φ = 18137053440.

The previous prime is 31686342221. The next prime is 31686342257. The reversal of 31686342237 is 73224368613.

31686342237 is a `hidden beast` number, since 3 + 1 + 6 + 8 + 634 + 2 + 2 + 3 + 7 = 666.

It is not a de Polignac number, because 31686342237 - 24 = 31686342221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31686342192 and 31686342201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31686342257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28366803 + ... + 28367919.

Almost surely, 231686342237 is an apocalyptic number.

It is an amenable number.

31686342237 is a deficient number, since it is larger than the sum of its proper divisors (22795139363).

31686342237 is a wasteful number, since it uses less digits than its factorization.

31686342237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1607 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 31686342237 in words is "thirty-one billion, six hundred eighty-six million, three hundred forty-two thousand, two hundred thirty-seven".

Divisors: 1 3 9 11 19 27 33 57 99 121 171 209 297 363 457 513 627 1089 1117 1371 1881 2299 3267 3351 4113 5027 5643 6897 8683 10053 12287 12339 15081 20691 21223 26049 30159 36861 45243 55297 62073 63669 78147 95513 110583 135157 135729 165891 191007 233453 234441 286539 331749 405471 497673 510469 573021 700359 859617 1050643 1216413 1493019 1531407 2101077 2567983 2578851 3151929 3649239 4594221 5615159 6303231 7703949 9455787 9698911 13782663 16845477 23111847 28367361 29096733 50536431 61766749 69335541 87290199 106688021 151609293 185300247 261870597 320064063 555900741 960192189 1173568231 1667702223 2880576567 3520704693 10562114079 31686342237