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10749644334 = 23211135378797
BaseRepresentation
bin10100000001011101…
…01000111000101110
31000202011100111211100
422000232220320232
5134003402104314
64534402103530
7530246316642
oct120056507056
930664314740
1010749644334
114616991990
12210004aba6
1310240bc0c0
1473d940c22
1542dad9c09
hex280ba8e2e

10749644334 has 96 divisors (see below), whose sum is σ = 27879362784. Its totient is φ = 2950122240.

The previous prime is 10749644333. The next prime is 10749644371. The reversal of 10749644334 is 43344694701.

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 10749644334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10749644333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97024 + ... + 175820.

It is an arithmetic number, because the mean of its divisors is an integer number (290410029).

Almost surely, 210749644334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10749644334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939681392).

10749644334 is an abundant number, since it is smaller than the sum of its proper divisors (17129718450).

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

10749644334 is a wasteful number, since it uses less digits than its factorization.

10749644334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78882 (or 78879 counting only the distinct ones).

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

The spelling of 10749644334 in words is "ten billion, seven hundred forty-nine million, six hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 53 66 78 99 106 117 143 159 198 234 286 318 429 477 583 689 858 954 1166 1287 1378 1749 2067 2574 3498 4134 5247 6201 7579 10494 12402 15158 22737 45474 68211 78797 136422 157594 236391 472782 709173 866767 1024361 1418346 1733534 2048722 2600301 3073083 4176241 5200602 6146166 7800903 8352482 9219249 11267971 12528723 15601806 18438498 22535942 25057446 33803913 37586169 45938651 54291133 67607826 75172338 91877302 101411739 108582266 137815953 162873399 202823478 275631906 325746798 413447859 488620197 597202463 826895718 977240394 1194404926 1791607389 3583214778 5374822167 10749644334