Search a number
-
+
455631750025 = 52127210632
BaseRepresentation
bin1101010000101011100…
…01001100001110001001
31121120001202112002021221
412220111301030032021
524431113212000100
6545151521402041
744626656655024
oct6502561141611
91546052462257
10455631750025
11166261276611
127437a199321
1333c730a0c1a
14180a48441bb
15bcba8d501a
hex6a15c4c389

455631750025 has 27 divisors (see below), whose sum is σ = 570003307911. Its totient is φ = 361295076240.

The previous prime is 455631750017. The next prime is 455631750137. The reversal of 455631750025 is 520057136554.

The square root of 455631750025 is 675005.

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

It can be written as a sum of positive squares in only one way, i.e., 164027430009 + 291604320016 = 405003^2 + 540004^2 .

It is not a de Polignac number, because 455631750025 - 23 = 455631750017 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 428627644 + ... + 428628706.

Almost surely, 2455631750025 is an apocalyptic number.

455631750025 is the 675005-th square number.

455631750025 is the 337503-rd centered octagonal number.

It is an amenable number.

455631750025 is a deficient number, since it is larger than the sum of its proper divisors (114371557886).

455631750025 is an frugal number, since it uses more digits than its factorization.

455631750025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 43.

Adding to 455631750025 its reverse (520057136554), we get a palindrome (975688886579).

The spelling of 455631750025 in words is "four hundred fifty-five billion, six hundred thirty-one million, seven hundred fifty thousand, twenty-five".

Divisors: 1 5 25 127 635 1063 3175 5315 16129 26575 80645 135001 403225 675005 1129969 3375025 5649845 17145127 28249225 85725635 143506063 428628175 717530315 3587651575 18225270001 91126350005 455631750025