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73124272225 = 52540832
BaseRepresentation
bin100010000011010001…
…0111101100001100001
320222202011012220122201
41010012202331201201
52144224303202400
653332014533201
75166042026014
oct1040642754141
9228664186581
1073124272225
1129014822034
1212209207201
136b847c0544
14377992b37b
151d7ea5106a
hex11068bd861

73124272225 has 9 divisors (see below), whose sum is σ = 90675774163. Its totient is φ = 58498336120.

The previous prime is 73124272223. The next prime is 73124272259. The reversal of 73124272225 is 52227242137.

The square root of 73124272225 is 270415.

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., 26324738001 + 46799534224 = 162249^2 + 216332^2 .

It is not a de Polignac number, because 73124272225 - 21 = 73124272223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73124272223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1325034 + ... + 1379116.

Almost surely, 273124272225 is an apocalyptic number.

73124272225 is the 270415-th square number.

73124272225 is the 135208-th centered octagonal number.

It is an amenable number.

73124272225 is a deficient number, since it is larger than the sum of its proper divisors (17551501938).

73124272225 is an frugal number, since it uses more digits than its factorization.

73124272225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108176 (or 54088 counting only the distinct ones).

The product of its digits is 94080, while the sum is 37.

The spelling of 73124272225 in words is "seventy-three billion, one hundred twenty-four million, two hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 25 54083 270415 1352075 2924970889 14624854445 73124272225