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65228649201 = 32851332
BaseRepresentation
bin111100101111111011…
…100011001011110001
320020100220012201001100
4330233323203023301
52032042013233301
645544324155013
74466266240632
oct745773431361
9206326181040
1065228649201
1125732965651
1210784b38a69
1361c6a94261
14322b073889
151a6b7c2286
hexf2fee32f1

65228649201 has 9 divisors (see below), whose sum is σ = 94220266699. Its totient is φ = 43485255336.

The previous prime is 65228649139. The next prime is 65228649203. The reversal of 65228649201 is 10294682256.

The square root of 65228649201 is 255399.

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

65228649201 is a `hidden beast` number, since 6 + 522 + 86 + 49 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9213120225 + 56015528976 = 95985^2 + 236676^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 65228649201 - 211 = 65228647153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65228649203) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 723631 + ... + 808763.

Almost surely, 265228649201 is an apocalyptic number.

65228649201 is the 255399-th square number.

65228649201 is the 127700-th centered octagonal number.

It is an amenable number.

65228649201 is a deficient number, since it is larger than the sum of its proper divisors (28991617498).

65228649201 is an frugal number, since it uses more digits than its factorization.

65228649201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170272 (or 85136 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 65228649201 in words is "sixty-five billion, two hundred twenty-eight million, six hundred forty-nine thousand, two hundred one".

Divisors: 1 3 9 85133 255399 766197 7247627689 21742883067 65228649201