Search a number
-
+
13155306460660 = 2257138598414657
BaseRepresentation
bin1011111101101111010101…
…0111100101010111110100
31201120122010221000011201001
42333123311113211113310
53211014031423220120
643551244145013044
72525303520625420
oct277336527452764
951518127004631
1013155306460660
1142121525a2321
121585705624184
13745703716b10
14336a1244db80
1517c2ee055e0a
hexbf6f55e55f4

13155306460660 has 96 divisors (see below), whose sum is σ = 34040994059520. Its totient is φ = 4158590312448.

The previous prime is 13155306460651. The next prime is 13155306460669. The reversal of 13155306460660 is 6606460355131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13155306460651) and next prime (13155306460669).

It is a super-2 number, since 2×131553064606602 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13155306460660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155306460669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2643949 + ... + 5770708.

It is an arithmetic number, because the mean of its divisors is an integer number (354593688120).

Almost surely, 213155306460660 is an apocalyptic number.

13155306460660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13155306460660 is an abundant number, since it is smaller than the sum of its proper divisors (20885687598860).

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

13155306460660 is a wasteful number, since it uses less digits than its factorization.

13155306460660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8415545 (or 8415543 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 13155306460660 in words is "thirteen trillion, one hundred fifty-five billion, three hundred six million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 859 910 1718 1820 3436 4295 6013 8590 11167 12026 17180 22334 24052 30065 44668 55835 60130 78169 111670 120260 156338 223340 312676 390845 781690 1563380 8414657 16829314 33658628 42073285 58902599 84146570 109390541 117805198 168293140 218781082 235610396 294512995 437562164 546952705 589025990 765733787 1093905410 1178051980 1531467574 2187810820 3062935148 3828668935 7228190363 7657337870 14456380726 15314675740 28912761452 36140951815 50597332541 72281903630 93966474719 101194665082 144563807260 187932949438 202389330164 252986662705 375865898876 469832373595 505973325410 657765323033 939664747190 1011946650820 1315530646066 1879329494380 2631061292132 3288826615165 6577653230330 13155306460660