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5258179368 = 23331316711213
BaseRepresentation
bin1001110010110100…
…10111001100101000
3111120110012012002000
410321122113030220
541232043214433
62225433011000
7244205534001
oct47132271450
914513165060
105258179368
112259117a92
121028b53a60
1365a4a6250
1437c4aa1a8
1520b954113
hex139697328

5258179368 has 128 divisors (see below), whose sum is σ = 15825196800. Its totient is φ = 1608069888.

The previous prime is 5258179361. The next prime is 5258179403. The reversal of 5258179368 is 8639718525.

5258179368 is a `hidden beast` number, since 52 + 581 + 7 + 9 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5258179361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463330 + ... + 474542.

It is an arithmetic number, because the mean of its divisors is an integer number (123634350).

Almost surely, 25258179368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5258179368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912598400).

5258179368 is an abundant number, since it is smaller than the sum of its proper divisors (10567017432).

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

5258179368 is a wasteful number, since it uses less digits than its factorization.

5258179368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408 (or 11398 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 5258179368 is about 72513.3047654015. The cubic root of 5258179368 is about 1738.9154477950.

The spelling of 5258179368 in words is "five billion, two hundred fifty-eight million, one hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 167 216 234 312 334 351 468 501 668 702 936 1002 1336 1404 1503 2004 2171 2808 3006 4008 4342 4509 6012 6513 8684 9018 11213 12024 13026 17368 18036 19539 22426 26052 33639 36072 39078 44852 52104 58617 67278 78156 89704 100917 117234 134556 145769 156312 201834 234468 269112 291538 302751 403668 437307 468936 583076 605502 807336 874614 1166152 1211004 1311921 1749228 1872571 2422008 2623842 3498456 3745142 3935763 5247684 5617713 7490284 7871526 10495368 11235426 14980568 15743052 16853139 22470852 24343423 31486104 33706278 44941704 48686846 50559417 67412556 73030269 97373692 101118834 134825112 146060538 194747384 202237668 219090807 292121076 404475336 438181614 584242152 657272421 876363228 1314544842 1752726456 2629089684 5258179368