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112405196449 = 73131931127337
BaseRepresentation
bin110100010101111011…
…1110010111010100001
3101202010201012121122001
41220223313302322201
53320201212241244
6123345505244001
711056335256000
oct1505367627241
9352121177561
10112405196449
1143741891877
1219950333601
13a7a48b4b80
1456247d6c37
152dcd3485d4
hex1a2bdf2ea1

112405196449 has 128 divisors (see below), whose sum is σ = 155058176000. Its totient is φ = 80655160320.

The previous prime is 112405196447. The next prime is 112405196467. The reversal of 112405196449 is 944691504211.

It is not a de Polignac number, because 112405196449 - 21 = 112405196447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112405196399 and 112405196408.

It is not an unprimeable number, because it can be changed into a prime (112405196447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 333546409 + ... + 333546745.

It is an arithmetic number, because the mean of its divisors is an integer number (1211392000).

Almost surely, 2112405196449 is an apocalyptic number.

112405196449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

112405196449 is a deficient number, since it is larger than the sum of its proper divisors (42652979551).

112405196449 is a wasteful number, since it uses less digits than its factorization.

112405196449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 112405196449 in words is "one hundred twelve billion, four hundred five million, one hundred ninety-six thousand, four hundred forty-nine".

Divisors: 1 7 13 19 31 49 91 127 133 217 247 337 343 403 589 637 889 931 1519 1651 1729 2359 2413 2821 3937 4123 4381 4459 6223 6403 6517 7657 10447 10633 11557 12103 16513 16891 19747 27559 28861 30667 31369 42799 43561 44821 51181 53599 73129 74803 80899 83239 84721 115591 118237 135811 138229 192913 198493 202027 214669 219583 299593 313747 358267 375193 511903 523621 556387 566293 582673 813181 827659 950677 972439 1326769 1350391 1389451 1502683 1537081 2097151 2196229 2507869 2580409 2626351 3583321 3665347 3894709 4078711 5692267 6654739 6807073 9287383 9726157 10571353 10759567 14680057 17247997 17555083 18062863 25208611 25657429 27262963 28550977 39845869 46583173 47649511 65011681 68083099 73999471 120735979 126440041 176460277 190840741 278921083 327711943 333546577 455081767 517996297 845151853 885080287 1235221939 2293983601 3625974079 5916062971 8646553573 16057885207 112405196449