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107494641945 = 3453161971447
BaseRepresentation
bin110010000011100101…
…1100001000100011001
3101021110111010121020000
41210013023201010121
53230122112020240
6121214331123213
710523550244365
oct1440713410431
9337414117200
10107494641945
1141651a17569
12189bb8a3509
13a1a1442a12
1452ba57a2a5
152be21ae430
hex19072e1119

107494641945 has 160 divisors (see below), whose sum is σ = 204396251136. Its totient is φ = 53971660800.

The previous prime is 107494641929. The next prime is 107494641949. The reversal of 107494641945 is 549146494701.

It is a happy number.

107494641945 is a `hidden beast` number, since 1 + 0 + 7 + 494 + 64 + 1 + 94 + 5 = 666.

It is not a de Polignac number, because 107494641945 - 24 = 107494641929 is a prime.

It is a super-3 number, since 3×1074946419453 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107494641891 and 107494641900.

It is not an unprimeable number, because it can be changed into a prime (107494641949) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74287212 + ... + 74288658.

Almost surely, 2107494641945 is an apocalyptic number.

107494641945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107494641945 is a deficient number, since it is larger than the sum of its proper divisors (96901609191).

107494641945 is a wasteful number, since it uses less digits than its factorization.

107494641945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 107494641945 in words is "one hundred seven billion, four hundred ninety-four million, six hundred forty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 61 81 93 97 135 155 183 279 291 305 405 465 485 549 837 873 915 1395 1447 1455 1647 1891 2511 2619 2745 3007 4185 4341 4365 4941 5673 5917 7235 7857 8235 9021 9455 12555 13023 13095 15035 17019 17751 21705 24705 27063 28365 29585 39069 39285 44857 45105 51057 53253 65115 81189 85095 88267 88755 117207 134571 135315 140359 153171 159759 183427 195345 224285 243567 255285 264801 266265 403713 405945 421077 441335 479277 550281 586035 672855 701795 765855 794403 798795 917135 1211139 1217835 1263231 1324005 1650843 2018565 2105385 2383209 2396385 2736277 2751405 3633417 3789693 3972015 4351129 4952529 6055695 6316155 7149627 8208831 8254215 8561899 11369079 11916045 13053387 13681385 14857587 18167085 18948465 21755645 24626493 24762645 25685697 35748135 39160161 41044155 42809495 56845395 65266935 73879479 74287935 77057091 117480483 123132465 128428485 195800805 221638437 231171273 265418869 352441449 369397395 385285455 587402415 693513819 796256607 1108192185 1155856365 1327094345 1762207245 2388769821 3467569095 3981283035 7166309463 11943849105 21498928389 35831547315 107494641945