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286168292809 = 72764212
BaseRepresentation
bin1000010101000001111…
…01011001110111001001
31000100122120010111111121
410022200331121313021
514142033040332214
6335244111355241
726450342232400
oct4124075316711
91010576114447
10286168292809
111003aa5a4a33
1247565222b21
1320ca7354c99
14dbca156637
15769d220424
hex42a0f59dc9

286168292809 has 9 divisors (see below), whose sum is σ = 332894002791. Its totient is φ = 245283898440.

The previous prime is 286168292797. The next prime is 286168292827. The reversal of 286168292809 is 908292861682.

The square root of 286168292809 is 534947.

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., 11277802809 + 274890490000 = 106197^2 + 524300^2 .

It is not a de Polignac number, because 286168292809 - 27 = 286168292681 is a prime.

It is a super-2 number, since 2×2861682928092 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (286168292899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3706419 + ... + 3782839.

Almost surely, 2286168292809 is an apocalyptic number.

286168292809 is the 534947-th square number.

286168292809 is the 267474-th centered octagonal number.

It is an amenable number.

286168292809 is a deficient number, since it is larger than the sum of its proper divisors (46725709982).

286168292809 is an frugal number, since it uses more digits than its factorization.

286168292809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152856 (or 76428 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 61.

The spelling of 286168292809 in words is "two hundred eighty-six billion, one hundred sixty-eight million, two hundred ninety-two thousand, eight hundred nine".

Divisors: 1 7 49 76421 534947 3744629 5840169241 40881184687 286168292809