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31728957687 = 347537691373
BaseRepresentation
bin11101100011001100…
…010111100011110111
310000220020122001110000
4131203030113203313
51004440103121222
622324233402343
72202162455550
oct354314274367
9100806561400
1031728957687
1112502195589
126195b693b3
132cb864009b
14176dd0b327
15c5a7ec9ac
hex7633178f7

31728957687 has 80 divisors (see below), whose sum is σ = 55302730560. Its totient is φ = 17752670208.

The previous prime is 31728957683. The next prime is 31728957719. The reversal of 31728957687 is 78675982713.

31728957687 is a `hidden beast` number, since 31 + 7 + 28 + 9 + 576 + 8 + 7 = 666.

It is not a de Polignac number, because 31728957687 - 22 = 31728957683 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (35562240) is a multiple of the sum of its prime divisors (2205).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31728957683) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23108533 + ... + 23109905.

It is an arithmetic number, because the mean of its divisors is an integer number (691284132).

Almost surely, 231728957687 is an apocalyptic number.

31728957687 is a deficient number, since it is larger than the sum of its proper divisors (23573772873).

31728957687 is a wasteful number, since it uses less digits than its factorization.

31728957687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2205 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 31728957687 in words is "thirty-one billion, seven hundred twenty-eight million, nine hundred fifty-seven thousand, six hundred eighty-seven".

Divisors: 1 3 7 9 21 27 53 63 81 159 189 371 477 567 769 1113 1373 1431 2307 3339 4119 4293 5383 6921 9611 10017 12357 16149 20763 28833 30051 37071 40757 48447 62289 72769 86499 111213 122271 145341 218307 259497 285299 366813 436023 509383 654921 778491 855897 1055837 1100439 1528149 1964763 2567691 3167511 3301317 4584447 5894289 7390859 7703073 9502533 13753341 22172577 23109219 28507599 41260023 55959361 66517731 85522797 167878083 199553193 391715527 503634249 598659579 1175146581 1510902747 3525439743 4532708241 10576319229 31728957687