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132069008569 = 1923126172
BaseRepresentation
bin111101011111111101…
…1010010010010111001
3110121220010010202210211
41322333323102102321
54130434131233234
6140401025111121
712353536023211
oct1727773222271
9417803122724
10132069008569
115101256a973
12217197884a1
13c5b9731364
14656c1a9241
15367e808164
hex1ebfed24b9

132069008569 has 27 divisors (see below), whose sum is σ = 144261021231. Its totient is φ = 120885700320.

The previous prime is 132069008543. The next prime is 132069008579. The reversal of 132069008569 is 965800960231.

The square root of 132069008569 is 363413.

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., 3824804025 + 128244204544 = 61845^2 + 358112^2 .

It is a de Polignac number, because none of the positive numbers 2k-132069008569 is a prime.

It is a super-2 number, since 2×1320690085692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132069008509) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214049949 + ... + 214050565.

Almost surely, 2132069008569 is an apocalyptic number.

132069008569 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

132069008569 is the 363413-rd square number.

132069008569 is the 181707-th centered octagonal number.

It is an amenable number.

132069008569 is a deficient number, since it is larger than the sum of its proper divisors (12192012662).

132069008569 is an frugal number, since it uses more digits than its factorization.

132069008569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 132069008569 by its sum of digits (49), we get a square (6471381419881 = 25438912).

The spelling of 132069008569 in words is "one hundred thirty-two billion, sixty-nine million, eight thousand, five hundred sixty-nine".

Divisors: 1 19 31 361 589 617 961 11191 11723 18259 19127 222737 346921 363413 380689 592937 6904847 7233091 11265803 11801359 137428729 214050257 224225821 365842129 4260290599 6951000451 132069008569