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65023470009 = 342929772
BaseRepresentation
bin111100100011101100…
…110110100110111001
320012211121010112010000
4330203230312212321
52031132002020014
645512114343213
74461225242601
oct744354664671
9205747115100
1065023470009
1125638065473
121072828ab09
136193415754
14320bb03c01
151a58793509
hexf23b369b9

65023470009 has 45 divisors (see below), whose sum is σ = 100701838237. Its totient is φ = 41811348096.

The previous prime is 65023469989. The next prime is 65023470019. The reversal of 65023470009 is 90007432056.

The square root of 65023470009 is 254997.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17946621225 + 47076848784 = 133965^2 + 216972^2 .

It is not a de Polignac number, because 65023470009 - 219 = 65022945721 is a prime.

It is a super-2 number, since 2×650234700092 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65023470019) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66553729 + ... + 66554705.

Almost surely, 265023470009 is an apocalyptic number.

65023470009 is the 254997-th square number.

65023470009 is the 127499-th centered octagonal number.

It is an amenable number.

65023470009 is a deficient number, since it is larger than the sum of its proper divisors (35678368228).

65023470009 is an frugal number, since it uses more digits than its factorization.

65023470009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 65023470009 by its sum of digits (36), we get a square (2340844920324 = 15299822).

The spelling of 65023470009 in words is "sixty-five billion, twenty-three million, four hundred seventy thousand, nine".

Divisors: 1 3 9 27 29 81 87 261 783 841 977 2349 2523 2931 7569 8793 22707 26379 28333 68121 79137 84999 254997 764991 821657 954529 2294973 2464971 2863587 7394913 8590761 22184739 25772283 27681341 66554217 77316849 83044023 249132069 747396207 802758889 2242188621 2408276667 7224830001 21674490003 65023470009