Search a number
-
+
49370618025 = 3252148132
BaseRepresentation
bin101101111110101101…
…111101100010101001
311201102201112020212100
4231332231331202221
51302102334234100
634402555404013
73365310220611
oct557655754251
9151381466770
1049370618025
1119a35477063
12969a153609
13486a557561
142564cd9a41
15143e4c1400
hexb7eb7d8a9

49370618025 has 27 divisors (see below), whose sum is σ = 88434232549. Its totient is φ = 26329218720.

The previous prime is 49370617991. The next prime is 49370618041. The reversal of 49370618025 is 52081607394.

The square root of 49370618025 is 222195.

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

49370618025 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 0 + 618 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5803240041 + 43567377984 = 76179^2 + 208728^2 .

It is not a de Polignac number, because 49370618025 - 225 = 49337063593 is a prime.

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

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 3325519 + ... + 3340331.

It is a 2-persistent number, because it is pandigital, and so is 2⋅49370618025 = 98741236050, but 3⋅49370618025 = 148111854075 is not.

Almost surely, 249370618025 is an apocalyptic number.

49370618025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49370618025 is the 222195-th square number.

49370618025 is the 111098-th centered octagonal number.

It is an amenable number.

49370618025 is a deficient number, since it is larger than the sum of its proper divisors (39063614524).

49370618025 is an frugal number, since it uses more digits than its factorization.

49370618025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29642 (or 14821 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 49370618025 in words is "forty-nine billion, three hundred seventy million, six hundred eighteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 14813 44439 74065 133317 222195 370325 666585 1110975 3332925 219424969 658274907 1097124845 1974824721 3291374535 5485624225 9874123605 16456872675 49370618025