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107855119161 = 361923834079
BaseRepresentation
bin110010001110010101…
…0101000001100111001
3101022101121102202000000
41210130222220030321
53231341402303121
6121314205303213
710535515246356
oct1443452501471
9338347382000
10107855119161
1141817448419
1218aa0564b09
13a22b026a4a
1453123b362d
152c13b67526
hex191caa8339

107855119161 has 112 divisors (see below), whose sum is σ = 179804620800. Its totient is φ = 64356516576.

The previous prime is 107855119159. The next prime is 107855119187. The reversal of 107855119161 is 161911558701.

107855119161 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 551 + 1 + 91 + 6 + 1 = 666.

It is not a de Polignac number, because 107855119161 - 21 = 107855119159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107855112161) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 26439520 + ... + 26443598.

It is an arithmetic number, because the mean of its divisors is an integer number (1605398400).

Almost surely, 2107855119161 is an apocalyptic number.

It is an amenable number.

107855119161 is a deficient number, since it is larger than the sum of its proper divisors (71949501639).

107855119161 is an equidigital number, since it uses as much as digits as its factorization.

107855119161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 45.

The spelling of 107855119161 in words is "one hundred seven billion, eight hundred fifty-five million, one hundred nineteen thousand, one hundred sixty-one".

Divisors: 1 3 9 19 23 27 57 69 81 83 171 207 243 249 437 513 621 729 747 1311 1539 1577 1863 1909 2241 3933 4079 4617 4731 5589 5727 6723 11799 12237 13851 14193 16767 17181 20169 35397 36271 36711 42579 51543 60507 77501 93817 106191 108813 110133 127737 154629 232503 281451 318573 326439 330399 338557 383211 463887 697509 844353 979317 991197 1015671 1149633 1391661 1782523 2092527 2533059 2937951 2973591 3047013 5347569 6277581 6432583 7599177 7786811 8813853 9141039 16042707 18832743 19297749 22797531 23360433 26441559 27423117 48128121 56498229 57893247 68392593 70081299 82269351 144384363 147949409 173679741 210243897 246808053 433153089 443848227 521039223 630731691 1299459267 1331544681 1563117669 1892195073 3994634043 4689353007 5676585219 11983902129 35951706387 107855119161