Search a number
-
+
13411516746540 = 223511106911900709
BaseRepresentation
bin1100001100101001110010…
…1100010000101100101100
31202111010110122212020111110
43003022130230100230230
53224213241241342130
644305055444352020
72552643613261053
oct303123454205454
952433418766443
1013411516746540
114300879625240
1216072a99a5610
137639152ba783
1434519996d39a
15183ce7194ab0
hexc329cb10b2c

13411516746540 has 96 divisors (see below), whose sum is σ = 40969940901120. Its totient is φ = 3250970963200.

The previous prime is 13411516746527. The next prime is 13411516746553. The reversal of 13411516746540 is 4564761511431.

It is an interprime number because it is at equal distance from previous prime (13411516746527) and next prime (13411516746553).

It is a self number, because there is not a number n which added to its sum of digits gives 13411516746540.

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 31 ways as a sum of consecutive naturals, for example, 6105706 + ... + 8006414.

It is an arithmetic number, because the mean of its divisors is an integer number (426770217720).

Almost surely, 213411516746540 is an apocalyptic number.

13411516746540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13411516746540 is an abundant number, since it is smaller than the sum of its proper divisors (27558424154580).

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

13411516746540 is a wasteful number, since it uses less digits than its factorization.

13411516746540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911423 (or 1911421 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 13411516746540 in words is "thirteen trillion, four hundred eleven billion, five hundred sixteen million, seven hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 10691 21382 32073 42764 53455 64146 106910 117601 128292 160365 213820 235202 320730 352803 470404 588005 641460 705606 1176010 1411212 1764015 1900709 2352020 3528030 3801418 5702127 7056060 7602836 9503545 11404254 19007090 20907799 22808508 28510635 38014180 41815598 57021270 62723397 83631196 104538995 114042540 125446794 209077990 250893588 313616985 418155980 627233970 1254467940 20320479919 40640959838 60961439757 81281919676 101602399595 121922879514 203204799190 223525279109 243845759028 304807198785 406409598380 447050558218 609614397570 670575837327 894101116436 1117626395545 1219228795140 1341151674654 2235252791090 2682303349308 3352879186635 4470505582180 6705758373270 13411516746540