Search a number
-
+
15245742018 = 23131729449883
BaseRepresentation
bin11100011001011011…
…11000111111000010
31110100111112221100210
432030231320333002
5222210402221033
611000453054550
71046542445313
oct161455707702
943314487323
1015245742018
1165139076a1
122b55927456
13158c72a630
14a48b1260a
155e36a6d63
hex38cb78fc2

15245742018 has 128 divisors (see below), whose sum is σ = 36088416000. Its totient is φ = 4248502272.

The previous prime is 15245742007. The next prime is 15245742079. The reversal of 15245742018 is 81024754251.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17265405 + ... + 17266287.

It is an arithmetic number, because the mean of its divisors is an integer number (281940750).

Almost surely, 215245742018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15245742018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044208000).

15245742018 is an abundant number, since it is smaller than the sum of its proper divisors (20842673982).

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

15245742018 is a wasteful number, since it uses less digits than its factorization.

15245742018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396.

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 15245742018 in words is "fifteen billion, two hundred forty-five million, seven hundred forty-two thousand, eighteen".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 174 221 377 442 449 493 663 754 883 898 986 1131 1326 1347 1479 1766 2262 2649 2694 2958 5298 5837 6409 7633 11479 11674 12818 13021 15011 15266 17511 19227 22899 22958 25607 26042 30022 34437 35022 38454 39063 45033 45798 51214 68874 76821 78126 90066 99229 153642 169273 195143 198458 221357 297687 332891 338546 390286 396467 435319 442714 507819 585429 595374 664071 665782 792934 870638 998673 1015638 1170858 1189401 1305957 1328142 1997346 2378802 2611914 2877641 5154071 5659147 5755282 6739939 8632923 10308142 11318294 11497543 13479878 15462213 16977441 17265846 20219817 22995086 30924426 33954882 34492629 40439634 68985258 87619207 149468059 175238414 195458231 262857621 298936118 390916462 448404177 525715242 586374693 896808354 1172749386 2540957003 5081914006 7622871009 15245742018