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5758916226 = 23717192318457
BaseRepresentation
bin1010101110100001…
…00001011010000010
3112212100102020220120
411113100201122002
543243240304401
62351241321110
7262465660140
oct52720413202
915770366816
105758916226
112495837aa8
121148796196
1370a15884b
143c8bb4590
1523a8b5836
hex157421682

5758916226 has 128 divisors (see below), whose sum is σ = 15309803520. Its totient is φ = 1403246592.

The previous prime is 5758916197. The next prime is 5758916269. The reversal of 5758916226 is 6226198575.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 302790 + ... + 321246.

It is an arithmetic number, because the mean of its divisors is an integer number (119607840).

Almost surely, 25758916226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5758916226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654901760).

5758916226 is an abundant number, since it is smaller than the sum of its proper divisors (9550887294).

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

5758916226 is a wasteful number, since it uses less digits than its factorization.

5758916226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18528.

The product of its digits is 1814400, while the sum is 51.

The square root of 5758916226 is about 75887.5235200095. The cubic root of 5758916226 is about 1792.4494649517.

The spelling of 5758916226 in words is "five billion, seven hundred fifty-eight million, nine hundred sixteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 19 21 23 34 38 42 46 51 57 69 102 114 119 133 138 161 238 266 322 323 357 391 399 437 483 646 714 782 798 874 966 969 1173 1311 1938 2261 2346 2622 2737 3059 4522 5474 6118 6783 7429 8211 9177 13566 14858 16422 18354 18457 22287 36914 44574 52003 55371 104006 110742 129199 156009 258398 312018 313769 350683 387597 424511 627538 701366 775194 849022 941307 1052049 1273533 1882614 2104098 2196383 2454781 2547066 2971577 4392766 4909562 5943154 5961611 6589149 7216687 7364343 8065709 8914731 11923222 13178298 14433374 14728686 16131418 17829462 17884833 21650061 24197127 35769666 41731277 43300122 48394254 50516809 56459963 83462554 101033618 112919926 125193831 137117053 151550427 169379889 250387662 274234106 303100854 338759778 411351159 822702318 959819371 1919638742 2879458113 5758916226