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13291961553666 = 235661377910949
BaseRepresentation
bin1100000101101100011010…
…1001011001001100000010
31202001200212122200011200000
43001123012221121030002
53220233414124204131
644134124241540430
72541212125016325
oct301330651311402
952050778604600
1013291961553666
1142650a885a314
1215a80a3044716
137555713025b3
1433d4977327bc
15180b4b2a3ce6
hexc16c6a59302

13291961553666 has 96 divisors (see below), whose sum is σ = 29921719464000. Its totient is φ = 4422376284480.

The previous prime is 13291961553643. The next prime is 13291961553709. The reversal of 13291961553666 is 66635516919231.

It is a super-3 number, since 3×132919615536663 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213983160 + ... + 1213994108.

It is an arithmetic number, because the mean of its divisors is an integer number (311684577750).

Almost surely, 213291961553666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13291961553666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960859732000).

13291961553666 is an abundant number, since it is smaller than the sum of its proper divisors (16629757910334).

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

13291961553666 is a wasteful number, since it uses less digits than its factorization.

13291961553666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15406 (or 15394 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 63.

The spelling of 13291961553666 in words is "thirteen trillion, two hundred ninety-one billion, nine hundred sixty-one million, five hundred fifty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 661 1322 1983 3779 3966 5949 7558 10949 11337 11898 17847 21898 22674 32847 34011 35694 53541 65694 68022 98541 102033 107082 160623 197082 204066 295623 306099 321246 591246 612198 886869 918297 1773738 1836594 2497919 2660607 4995838 5321214 7237289 7493757 14474578 14987514 21711867 22481271 41376271 43423734 44962542 65135601 67443813 82752542 124128813 130271202 134887626 195406803 202331439 248257626 372386439 390813606 404662878 586220409 606994317 744772878 1117159317 1172440818 1213988634 1758661227 2234318634 3351477951 3517322454 6702955902 10054433853 20108867706 27349715131 54699430262 82049145393 164098290786 246147436179 492294872358 738442308537 1476884617074 2215326925611 4430653851222 6645980776833 13291961553666