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284540096929 = 1127126832
BaseRepresentation
bin1000010001111111110…
…10010101000110100001
31000012110002101120122111
410020333322111012201
514130214231100204
6334414345435321
726362111626544
oct4107772250641
91005402346574
10284540096929
11aa744515300
124718ba9bb41
1320aa7c2947a
14dab3c0285b
157605301d04
hex423fe951a1

284540096929 has 27 divisors (see below), whose sum is σ = 317691188017. Its totient is φ = 254656140200.

The previous prime is 284540096927. The next prime is 284540096947. The reversal of 284540096929 is 929690045482.

The square root of 284540096929 is 533423.

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

It is not a de Polignac number, because 284540096929 - 21 = 284540096927 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284540096927) 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 26 ways as a sum of consecutive naturals, for example, 416603022 + ... + 416603704.

Almost surely, 2284540096929 is an apocalyptic number.

284540096929 is the 533423-rd square number.

284540096929 is the 266712-nd centered octagonal number.

It is an amenable number.

284540096929 is a deficient number, since it is larger than the sum of its proper divisors (33151091088).

284540096929 is an frugal number, since it uses more digits than its factorization.

284540096929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 284540096929 in words is "two hundred eighty-four billion, five hundred forty million, ninety-six thousand, nine hundred twenty-nine".

Divisors: 1 11 71 121 683 781 5041 7513 8591 48493 55451 82643 466489 533423 609961 3443003 5131379 5867653 33120719 37873033 56445169 364327909 416603363 2351571049 4007606999 25867281539 284540096929