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10742554746 = 2337116738561
BaseRepresentation
bin10100000000100111…
…00110000001111010
31000201200000022202000
422000103212001322
5134000043222441
64533550121430
7530132131410
oct120023460172
930650008660
1010742554746
11461298a420
1220b97b0276
1310227a9191
1473ca172b0
1542d1892b6
hex2804e607a

10742554746 has 128 divisors (see below), whose sum is σ = 30207928320. Its totient is φ = 2748556800.

The previous prime is 10742554727. The next prime is 10742554759. The reversal of 10742554746 is 64745524701.

10742554746 is a `hidden beast` number, since 10 + 7 + 42 + 554 + 7 + 46 = 666.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 259306 + ... + 297866.

It is an arithmetic number, because the mean of its divisors is an integer number (235999440).

Almost surely, 210742554746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742554746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103964160).

10742554746 is an abundant number, since it is smaller than the sum of its proper divisors (19465373574).

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

10742554746 is a wasteful number, since it uses less digits than its factorization.

10742554746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38657 (or 38651 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 10742554746 in words is "ten billion, seven hundred forty-two million, five hundred fifty-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 67 77 99 126 134 154 189 198 201 231 297 378 402 462 469 594 603 693 737 938 1206 1386 1407 1474 1809 2079 2211 2814 3618 4158 4221 4422 5159 6633 8442 10318 12663 13266 15477 19899 25326 30954 38561 39798 46431 77122 92862 115683 139293 231366 269927 278586 347049 424171 539854 694098 809781 848342 1041147 1272513 1619562 2082294 2429343 2545026 2583587 2969197 3817539 4858686 5167174 5938394 7288029 7635078 7750761 8907591 11452617 14576058 15501522 17815182 18085109 22905234 23252283 26722773 28419457 36170218 46504566 53445546 54255327 56838914 69756849 80168319 85258371 108510654 139513698 160336638 162765981 170516742 198936199 255775113 325531962 397872398 488297943 511550226 596808597 767325339 976595886 1193617194 1534650678 1790425791 3580851582 5371277373 10742554746