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13161315165512 = 23171134218812309
BaseRepresentation
bin1011111110000101101110…
…0000111110010101001000
31201121012122200110000012012
42333201123200332111020
53211113333140244022
643554120312235052
72525605442030363
oct277413340762510
951535580400165
1013161315165512
1142147563291a8
12158690199ba88
1374615053ca87
143370224870da
1517c55180cde2
hexbf85b83e548

13161315165512 has 128 divisors (see below), whose sum is σ = 26464374367200. Its totient is φ = 6114567782400.

The previous prime is 13161315165491. The next prime is 13161315165521. The reversal of 13161315165512 is 21556151316131.

It can be written as a sum of positive squares in 16 ways, for example, as 247253584516 + 12914061580996 = 497246^2 + 3593614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13161315165512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5700005414 + ... + 5700007722.

Almost surely, 213161315165512 is an apocalyptic number.

It is an amenable number.

13161315165512 is an abundant number, since it is smaller than the sum of its proper divisors (13303059201688).

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

13161315165512 is a wasteful number, since it uses less digits than its factorization.

13161315165512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3743 counting only the distinct ones).

The product of its digits is 81000, while the sum is 41.

The spelling of 13161315165512 in words is "thirteen trillion, one hundred sixty-one billion, three hundred fifteen million, one hundred sixty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 17 34 68 113 136 226 421 452 842 881 904 1684 1762 1921 2309 3368 3524 3842 4618 7048 7157 7684 9236 14314 14977 15368 18472 28628 29954 39253 47573 57256 59908 78506 95146 99553 119816 157012 190292 199106 260917 314024 370901 380584 398212 521834 741802 796424 808741 972089 1043668 1483604 1617482 1692401 1944178 2034229 2087336 2967208 3234964 3384802 3888356 4068458 4435589 6305317 6469928 6769604 7776712 8136916 8871178 12610634 13539208 16273832 16525513 17742356 25221268 33051026 34581893 35484712 41911813 50442536 66102052 69163786 83823626 109846057 132204104 138327572 167647252 219692114 229867877 276655144 335294504 439384228 459735754 712500821 856410409 878768456 919471508 1425001642 1712820818 1838943016 1867382969 2850003284 3425641636 3734765938 3907753909 5700006568 6851283272 7469531876 7815507818 14558976953 14939063752 15631015636 29117953906 31262031272 58235907812 96774376217 116471815624 193548752434 387097504868 774195009736 1645164395689 3290328791378 6580657582756 13161315165512