Search a number
-
+
160814470678602 = 231321632414037221
BaseRepresentation
bin100100100100001010001001…
…011001100100100001001010
3210002101201020221222102110220
4210210022021121210201022
5132034241013443203402
61330005051542250510
745605314332624246
oct4444121131444112
9702351227872426
10160814470678602
1147271041300a94
1216052b08a26a36
136b9697c939900
142b9d6676a9426
15138d247c6cdbc
hex92428966484a

160814470678602 has 96 divisors (see below), whose sum is σ = 351863469752256. Its totient is φ = 48973739443200.

The previous prime is 160814470678601. The next prime is 160814470678639. The reversal of 160814470678602 is 206876074418061.

It is a super-2 number, since 2×1608144706786022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (160814470678601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37814352 + ... + 41851572.

It is an arithmetic number, because the mean of its divisors is an integer number (3665244476586).

Almost surely, 2160814470678602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160814470678602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175931734876128).

160814470678602 is an abundant number, since it is smaller than the sum of its proper divisors (191048999073654).

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

160814470678602 is a wasteful number, since it uses less digits than its factorization.

160814470678602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037656 (or 4037643 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 160814470678602 in words is "one hundred sixty trillion, eight hundred fourteen billion, four hundred seventy million, six hundred seventy-eight thousand, six hundred two".

Divisors: 1 2 3 6 13 26 39 78 163 169 241 326 338 482 489 507 723 978 1014 1446 2119 3133 4238 6266 6357 9399 12714 18798 27547 39283 40729 55094 78566 81458 82641 117849 122187 165282 235698 244374 510679 1021358 1532037 3064074 4037221 6638827 8074442 12111663 13277654 19916481 24223326 39832962 52483873 104967746 157451619 314903238 658067023 682290349 972970261 1316134046 1364580698 1945940522 1974201069 2046871047 2918910783 3948402138 4093742094 5837821566 8554871299 12648613393 17109742598 25297226786 25664613897 37945840179 51329227794 75891680358 111213326887 158594152543 164431974109 222426653774 317188305086 328863948218 333639980661 475782457629 493295922327 667279961322 951564915258 986591844654 2061723983059 4123447966118 6185171949177 12370343898354 26802411779767 53604823559534 80407235339301 160814470678602