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284297972193 = 321710931753777
BaseRepresentation
bin1000010001100010111…
…10101100100111100001
31000011211012210100221200
410020301132230213201
514124220240102233
6334334340111413
726353111614534
oct4106136544741
91004735710850
10284297972193
11aa62a880414
1247122995569
1320a69a134b1
14da8d9b6a1b
1575dde26313
hex42317ac9e1

284297972193 has 48 divisors (see below), whose sum is σ = 440190138960. Its totient is φ = 176185663488.

The previous prime is 284297972183. The next prime is 284297972197. The reversal of 284297972193 is 391279792482.

It can be written as a sum of positive squares in 8 ways, for example, as 31743479889 + 252554492304 = 178167^2 + 502548^2 .

It is not a de Polignac number, because 284297972193 - 233 = 275708037601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 284297972193.

It is not an unprimeable number, because it can be changed into a prime (284297972197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5259721 + ... + 5313497.

It is an arithmetic number, because the mean of its divisors is an integer number (9170627895).

Almost surely, 2284297972193 is an apocalyptic number.

It is an amenable number.

284297972193 is a deficient number, since it is larger than the sum of its proper divisors (155892166767).

284297972193 is a wasteful number, since it uses less digits than its factorization.

284297972193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54226 (or 54223 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 284297972193 in words is "two hundred eighty-four billion, two hundred ninety-seven million, nine hundred seventy-two thousand, one hundred ninety-three".

Divisors: 1 3 9 17 51 109 153 317 327 951 981 1853 2853 5389 5559 16167 16677 34553 48501 53777 103659 161331 310977 483993 587401 914209 1762203 2742627 5286609 5861693 8227881 17047309 17585079 51141927 52755237 99648781 153425781 289804253 298946343 869412759 896839029 1858156681 2608238277 5574470043 16723410129 31588663577 94765990731 284297972193