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284327197146 = 23297353461317
BaseRepresentation
bin1000010001100110011…
…10001011100111011010
31000011220020210011001100
410020303032023213122
514124300230302041
6334341302332230
726353615204506
oct4106316134732
91004806704040
10284327197146
11aa645321573
124713072a076
1320a72aa6775
14da93823306
1575e179a6b6
hex423338b9da

284327197146 has 48 divisors (see below), whose sum is σ = 624157718184. Its totient is φ = 93532741632.

The previous prime is 284327197093. The next prime is 284327197153. The reversal of 284327197146 is 641791723482.

284327197146 is a `hidden beast` number, since 2 + 8 + 432 + 7 + 197 + 14 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152041505625 + 132285691521 = 389925^2 + 363711^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 284327197092 and 284327197101.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 385680 + ... + 846996.

Almost surely, 2284327197146 is an apocalyptic number.

284327197146 is an abundant number, since it is smaller than the sum of its proper divisors (339830521038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284327197146 is a wasteful number, since it uses less digits than its factorization.

284327197146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461775 (or 461772 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 284327197146 in words is "two hundred eighty-four billion, three hundred twenty-seven million, one hundred ninety-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 97 194 291 353 582 706 873 1059 1746 2118 3177 6354 34241 68482 102723 205446 308169 461317 616338 922634 1383951 2767902 4151853 8303706 44747749 89495498 134243247 162844901 268486494 325689802 402729741 488534703 805459482 977069406 1465604109 2931208218 15795955397 31591910794 47387866191 94775732382 142163598573 284327197146