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65671750225 = 5210724792
BaseRepresentation
bin111101001010010101…
…110110001001010001
320021111202222120101101
4331022111312021101
52033443432001400
650100313304401
74513256444434
oct751225661121
9207452876341
1065671750225
112593aa99a44
1210889405101
136267816a03
14326dc5781b
151a9564b56a
hexf4a576251

65671750225 has 27 divisors (see below), whose sum is σ = 82373106907. Its totient is φ = 51937740080.

The previous prime is 65671750213. The next prime is 65671750237. The reversal of 65671750225 is 52205717656.

The square root of 65671750225 is 256265.

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

65671750225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65671750213) and next prime (65671750237).

It can be written as a sum of positive squares in only one way, i.e., 23641830081 + 42029920144 = 153759^2 + 205012^2 .

It is not a de Polignac number, because 65671750225 - 227 = 65537532497 is a prime.

It is a super-2 number, since 2×656717502252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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, 137101536 + ... + 137102014.

Almost surely, 265671750225 is an apocalyptic number.

65671750225 is the 256265-th square number.

65671750225 is the 128133-rd centered octagonal number.

It is an amenable number.

65671750225 is a deficient number, since it is larger than the sum of its proper divisors (16701356682).

65671750225 is an frugal number, since it uses more digits than its factorization.

65671750225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 65671750225 in words is "sixty-five billion, six hundred seventy-one million, seven hundred fifty thousand, two hundred twenty-five".

Divisors: 1 5 25 107 479 535 2395 2675 11449 11975 51253 57245 229441 256265 286225 1147205 1281325 5484071 5736025 24550187 27420355 122750935 137101775 613754675 2626870009 13134350045 65671750225