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10755427374 = 235294317747
BaseRepresentation
bin10100000010001001…
…01100110000101110
31000202120020022200000
422001010230300232
5134011342133444
64535130045130
7530346424056
oct120104546056
930676208600
1010755427374
11461a18185a
122101b797a6
131025365413
14740608566
1542e37d469
hex28112cc2e

10755427374 has 96 divisors (see below), whose sum is σ = 25582677120. Its totient is φ = 3380825952.

The previous prime is 10755427373. The next prime is 10755427393. The reversal of 10755427374 is 47372455701.

10755427374 is a `hidden beast` number, since 1 + 0 + 7 + 554 + 27 + 3 + 74 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10755427373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597169 + ... + 614915.

It is an arithmetic number, because the mean of its divisors is an integer number (266486220).

Almost surely, 210755427374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755427374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791338560).

10755427374 is an abundant number, since it is smaller than the sum of its proper divisors (14827249746).

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

10755427374 is a wasteful number, since it uses less digits than its factorization.

10755427374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17836 (or 17824 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 10755427374 in words is "ten billion, seven hundred fifty-five million, four hundred twenty-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 29 43 54 58 81 86 87 129 162 174 243 258 261 387 486 522 774 783 1161 1247 1566 2322 2349 2494 3483 3741 4698 6966 7047 7482 10449 11223 14094 17747 20898 22446 33669 35494 53241 67338 101007 106482 159723 202014 303021 319446 479169 514663 606042 763121 958338 1029326 1437507 1526242 1543989 2289363 2875014 3087978 4312521 4578726 4631967 6868089 8625042 9263934 13736178 13895901 20604267 22130509 27791802 41208534 41687703 44261018 61812801 66391527 83375406 123625602 125063109 132783054 185438403 199174581 250126218 370876806 398349162 597523743 1195047486 1792571229 3585142458 5377713687 10755427374