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104930104625 = 5319724117681
BaseRepresentation
bin110000110111001010…
…0100101010100110001
3101000211202111121101022
41201232110211110301
53204344101322000
6120112040145225
710403160113243
oct1415624452461
9330752447338
10104930104625
1140556343735
1218404a68215
139b83038308
145115b2a093
152ae1e86585
hex186e525531

104930104625 has 32 divisors (see below), whose sum is σ = 132171111072. Its totient is φ = 83166720000.

The previous prime is 104930104619. The next prime is 104930104687. The reversal of 104930104625 is 526401039401.

It can be written as a sum of positive squares in 16 ways, for example, as 39730056976 + 65200047649 = 199324^2 + 255343^2 .

It is not a de Polignac number, because 104930104625 - 230 = 103856362801 is a prime.

It is a super-2 number, since 2×1049301046252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5925785 + ... + 5943465.

It is an arithmetic number, because the mean of its divisors is an integer number (4130347221).

Almost surely, 2104930104625 is an apocalyptic number.

It is an amenable number.

104930104625 is a deficient number, since it is larger than the sum of its proper divisors (27241006447).

104930104625 is a wasteful number, since it uses less digits than its factorization.

104930104625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18134 (or 18124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 104930104625 in words is "one hundred four billion, nine hundred thirty million, one hundred four thousand, six hundred twenty-five".

Divisors: 1 5 25 125 197 241 985 1205 4925 6025 17681 24625 30125 47477 88405 237385 442025 1186925 2210125 3483157 4261121 5934625 17415785 21305605 87078925 106528025 435394625 532640125 839440837 4197204185 20986020925 104930104625