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82476372969 = 3229233012
BaseRepresentation
bin100110011001111111…
…0011001001111101001
321212212220211212002100
41030303332121033221
52322402422413334
6101520014524013
75646561413604
oct1146376311751
9255786755070
1082476372969
1131a83842811
1213b99206609
137a151b0c73
143dc59d933b
15222aacdc99
hex1333f993e9

82476372969 has 27 divisors (see below), whose sum is σ = 123419601669. Its totient is φ = 53072157600.

The previous prime is 82476372949. The next prime is 82476372971. The reversal of 82476372969 is 96927367428.

The square root of 82476372969 is 287187.

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

82476372969 is a `hidden beast` number, since 8 + 2 + 476 + 3 + 72 + 96 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6697294569 + 75779078400 = 81837^2 + 275280^2 .

It is not a de Polignac number, because 82476372969 - 231 = 80328889321 is a prime.

It is a super-2 number, since 2×824763729692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82476372949) 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, 24983619 + ... + 24986919.

Almost surely, 282476372969 is an apocalyptic number.

82476372969 is the 287187-th square number.

82476372969 is the 143594-th centered octagonal number.

It is an amenable number.

82476372969 is a deficient number, since it is larger than the sum of its proper divisors (40943228700).

82476372969 is an frugal number, since it uses more digits than its factorization.

82476372969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 3333 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 82476372969 in words is "eighty-two billion, four hundred seventy-six million, three hundred seventy-two thousand, nine hundred sixty-nine".

Divisors: 1 3 9 29 87 261 841 2523 3301 7569 9903 29709 95729 287187 861561 2776141 8328423 10896601 24985269 32689803 98069409 316001429 948004287 2844012861 9164041441 27492124323 82476372969