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11013246440805 = 3572791531123887
BaseRepresentation
bin1010000001000011100010…
…1001000101010101100101
31102222212010002011121000010
42200100320221011111211
52420420112042101210
635231225432440433
72214452341110300
oct240207051052545
942885102147003
1011013246440805
113566767556a54
12129a535b49119
1361b7108903cb
142a1088931b37
1514172e58a920
hexa0438a45565

11013246440805 has 96 divisors (see below), whose sum is σ = 20771319767040. Its totient is φ = 4967610560640.

The previous prime is 11013246440767. The next prime is 11013246440849. The reversal of 11013246440805 is 50804464231011.

It is not a de Polignac number, because 11013246440805 - 26 = 11013246440741 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 88835572 + ... + 88959458.

It is an arithmetic number, because the mean of its divisors is an integer number (216367914240).

Almost surely, 211013246440805 is an apocalyptic number.

11013246440805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11013246440805 is a deficient number, since it is larger than the sum of its proper divisors (9758073326235).

11013246440805 is a wasteful number, since it uses less digits than its factorization.

11013246440805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125519 (or 125512 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 11013246440805 in words is "eleven trillion, thirteen billion, two hundred forty-six million, four hundred forty thousand, eight hundred five".

Divisors: 1 3 5 7 15 21 35 49 79 105 147 237 245 395 553 735 1185 1531 1659 2765 3871 4593 7655 8295 10717 11613 19355 22965 32151 53585 58065 75019 120949 123887 160755 225057 362847 371661 375095 604745 619435 846643 867209 1125285 1814235 1858305 2539929 2601627 4233215 4336045 5926501 6070463 9787073 12699645 13008135 17779503 18211389 29361219 29632505 30352315 48935365 68509511 88897515 91056945 146806095 189670997 205528533 342547555 479566577 569012991 948354985 1027642665 1327696979 1438699731 2397832885 2845064955 3983090937 6638484895 7193498655 9293878853 14984008763 19915454685 27881636559 44952026289 46469394265 74920043815 104888061341 139408182795 224760131445 314664184023 524440306705 734216429387 1573320920115 2202649288161 3671082146935 11013246440805