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104493795025 = 5217238032
BaseRepresentation
bin110000101010001010…
…0001100011011010001
3100222201100111210010111
41201110110030123101
53203000402420100
6120000452401321
710356311413504
oct1412424143321
9328640453114
10104493795025
1140352028894
1218302916241
139b13822b59
1450b3bd313b
152ab89ee6ba
hex185450c6d1

104493795025 has 27 divisors (see below), whose sum is σ = 137678755921. Its totient is φ = 78656992640.

The previous prime is 104493794983. The next prime is 104493795071. The reversal of 104493795025 is 520597394401.

The square root of 104493795025 is 323255.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2444214721 + 102049580304 = 49439^2 + 319452^2 .

It is not a de Polignac number, because 104493795025 - 219 = 104493270737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104493795025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27474774 + ... + 27478576.

Almost surely, 2104493795025 is an apocalyptic number.

104493795025 is the 323255-th square number.

104493795025 is the 161628-th centered octagonal number.

It is an amenable number.

104493795025 is a deficient number, since it is larger than the sum of its proper divisors (33184960896).

104493795025 is an frugal number, since it uses more digits than its factorization.

104493795025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

Multiplying 104493795025 by its sum of digits (49), we get a square (5120195956225 = 22627852).

The spelling of 104493795025 in words is "one hundred four billion, four hundred ninety-three million, seven hundred ninety-five thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 3803 7225 19015 64651 95075 323255 1099067 1616275 5495335 14462809 27476675 72314045 245867753 361570225 1229338765 4179751801 6146693825 20898759005 104493795025