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104345124435 = 3254165778599
BaseRepresentation
bin110000100101101110…
…1000011111001010011
3100222022222202112102100
41201023131003321103
53202144322440220
6115534022051443
710352524631526
oct1411335037123
9328288675370
10104345124435
1140286114432
1218280b79b83
139abba9b0a6
14509c172bbd
152aaa933d90
hex184b743e53

104345124435 has 48 divisors (see below), whose sum is σ = 185325940800. Its totient is φ = 54278830080.

The previous prime is 104345124413. The next prime is 104345124437. The reversal of 104345124435 is 534421543401.

104345124435 is a `hidden beast` number, since 104 + 3 + 4 + 512 + 4 + 4 + 35 = 666.

It is not a de Polignac number, because 104345124435 - 212 = 104345120339 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104345124435.

It is not an unprimeable number, because it can be changed into a prime (104345124437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12130266 + ... + 12138864.

It is an arithmetic number, because the mean of its divisors is an integer number (3860957100).

Almost surely, 2104345124435 is an apocalyptic number.

104345124435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104345124435 is a deficient number, since it is larger than the sum of its proper divisors (80980816365).

104345124435 is a wasteful number, since it uses less digits than its factorization.

104345124435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15228 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 104345124435 its reverse (534421543401), we get a palindrome (638766667836).

The spelling of 104345124435 in words is "one hundred four billion, three hundred forty-five million, one hundred twenty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 6577 8599 19731 25797 32885 42995 59193 77391 98655 128985 269657 295965 352559 386955 808971 1057677 1348285 1762795 2426913 3173031 4044855 5288385 12134565 15865155 56555623 169666869 282778115 509000607 848334345 2318780543 2545003035 6956341629 11593902715 20869024887 34781708145 104345124435