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31198021638 = 23737671092749
BaseRepresentation
bin11101000011100011…
…000000100000000110
32222112020120201002220
4131003203000200012
51002343143143023
622155425513210
72153054544210
oct350343004006
988466521086
1031198021638
111225a519463
1260681a2806
132c32645c44
14171d5c15b0
15c28dc33e3
hex7438c0806

31198021638 has 128 divisors (see below), whose sum is σ = 75039360000. Its totient is φ = 8461905408.

The previous prime is 31198021619. The next prime is 31198021643. The reversal of 31198021638 is 83612089113.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31198021638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11347488 + ... + 11350236.

It is an arithmetic number, because the mean of its divisors is an integer number (586245000).

Almost surely, 231198021638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31198021638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37519680000).

31198021638 is an abundant number, since it is smaller than the sum of its proper divisors (43841338362).

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

31198021638 is a wasteful number, since it uses less digits than its factorization.

31198021638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974.

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 31198021638 in words is "thirty-one billion, one hundred ninety-eight million, twenty-one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 37 42 67 74 109 111 134 201 218 222 259 327 402 469 518 654 763 777 938 1407 1526 1554 2289 2479 2749 2814 4033 4578 4958 5498 7303 7437 8066 8247 12099 14606 14874 16494 17353 19243 21909 24198 28231 34706 38486 43818 51121 52059 56462 57729 84693 101713 102242 104118 115458 153363 169386 184183 203426 270211 299641 305139 306726 368366 540422 552549 599282 610278 711991 810633 898923 1105098 1289281 1423982 1621266 1797846 1891477 2097487 2135973 2578562 3782954 3867843 4194974 4271946 5674431 6292461 6814771 7735686 11086717 11348862 12584922 13629542 20075947 20444313 22173434 33260151 40151894 40888626 47703397 60227841 66520302 77607019 95406794 120455682 140531629 143110191 155214038 232821057 281063258 286220382 421594887 465642114 742810039 843189774 1485620078 2228430117 4456860234 5199670273 10399340546 15599010819 31198021638