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107284510845 = 3259724578353
BaseRepresentation
bin110001111101010100…
…1111011100001111101
3101020220211201211112200
41203322221323201331
53224204313321340
6121141423222113
710515416203311
oct1437251734175
9336824654480
10107284510845
11415543449a6
1218961447939
13a169a4c2a5
14529a6bbb41
152bcda03330
hex18faa7b87d

107284510845 has 24 divisors (see below), whose sum is σ = 187876937976. Its totient is φ = 56628523008.

The previous prime is 107284510783. The next prime is 107284510871. The reversal of 107284510845 is 548015482701.

107284510845 is a `hidden beast` number, since 10 + 7 + 2 + 84 + 510 + 8 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 547700409 + 106736810436 = 23403^2 + 326706^2 .

It is not a de Polignac number, because 107284510845 - 210 = 107284509821 is a prime.

It is a super-2 number, since 2×1072845108452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 107284510845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12284812 + ... + 12293541.

It is an arithmetic number, because the mean of its divisors is an integer number (7828205749).

Almost surely, 2107284510845 is an apocalyptic number.

107284510845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107284510845 is a deficient number, since it is larger than the sum of its proper divisors (80592427131).

107284510845 is a wasteful number, since it uses less digits than its factorization.

107284510845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24578461 (or 24578458 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 107284510845 in words is "one hundred seven billion, two hundred eighty-four million, five hundred ten thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 24578353 73735059 122891765 221205177 368675295 1106025885 2384100241 7152300723 11920501205 21456902169 35761503615 107284510845