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69064365601 = 7211234132
BaseRepresentation
bin100000001010010001…
…1101001011000100001
320121021012210021202201
41000110203221120201
52112420434144401
651421105013201
74663323264400
oct1002443513041
9217235707681
1069064365601
1127321041100
1211475624201
13668865552a
1434b2661637
151be33e5b01
hex10148e9621

69064365601 has 27 divisors (see below), whose sum is σ = 88333683123. Its totient is φ = 53800620720.

The previous prime is 69064365577. The next prime is 69064365611. The reversal of 69064365601 is 10656346096.

The square root of 69064365601 is 262801.

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., 65155115025 + 3909250576 = 255255^2 + 62524^2 .

It is not a de Polignac number, because 69064365601 - 27 = 69064365473 is a prime.

It is a super-3 number, since 3×690643656013 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (69064365611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20233971 + ... + 20237383.

Almost surely, 269064365601 is an apocalyptic number.

69064365601 is the 262801-st square number.

69064365601 is the 131401-st centered octagonal number.

It is an amenable number.

69064365601 is a deficient number, since it is larger than the sum of its proper divisors (19269317522).

69064365601 is an frugal number, since it uses more digits than its factorization.

69064365601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 69064365601 in words is "sixty-nine billion, sixty-four million, three hundred sixty-five thousand, six hundred one".

Divisors: 1 7 11 49 77 121 539 847 3413 5929 23891 37543 167237 262801 412973 1839607 2890811 11648569 20235677 81539983 128134259 570779881 896939813 1409476849 6278578691 9866337943 69064365601