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284190279025 = 521066192
BaseRepresentation
bin1000010001010110000…
…11111000010101110001
31000011112201010222200211
410020223003320111301
514124010202412100
6334315531544121
726350333341352
oct4105303702561
91004481128624
10284190279025
11aa5850049a4
12470b28bb041
1320a50608123
14da7d581d29
1575d47521ba
hex422b0f8571

284190279025 has 9 divisors (see below), whose sum is σ = 352399251211. Its totient is φ = 227350090840.

The previous prime is 284190279017. The next prime is 284190279031. The reversal of 284190279025 is 520972091482.

It is a happy number.

The square root of 284190279025 is 533095.

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., 102308500449 + 181881778576 = 319857^2 + 426476^2 .

It is not a de Polignac number, because 284190279025 - 23 = 284190279017 is a prime.

It is a super-2 number, since 2×2841902790252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 284190279025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2612166 + ... + 2718784.

Almost surely, 2284190279025 is an apocalyptic number.

284190279025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284190279025 is the 533095-th square number.

284190279025 is the 266548-th centered octagonal number.

It is an amenable number.

284190279025 is a deficient number, since it is larger than the sum of its proper divisors (68208972186).

284190279025 is an frugal number, since it uses more digits than its factorization.

284190279025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213248 (or 106624 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 284190279025 by its sum of digits (49), we get a square (13925323672225 = 37316652).

The spelling of 284190279025 in words is "two hundred eighty-four billion, one hundred ninety million, two hundred seventy-nine thousand, twenty-five".

Divisors: 1 5 25 106619 533095 2665475 11367611161 56838055805 284190279025