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284323612748 = 227241402710463
BaseRepresentation
bin1000010001100110000…
…00100000100001001100
31000011220000001001011212
410020303000200201030
514124243321101443
6334341053433552
726353542555410
oct4106300404114
91004800031155
10284323612748
11aa6432a355a
124712b49b8b8
1320a72120116
14da9316cd40
1575e12dd618
hex423302084c

284323612748 has 48 divisors (see below), whose sum is σ = 571203139584. Its totient is φ = 121305634560.

The previous prime is 284323612687. The next prime is 284323612753. The reversal of 284323612748 is 847216323482.

It is a super-3 number, since 3×2843236127483 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 284323612696 and 284323612705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27168965 + ... + 27179427.

It is an arithmetic number, because the mean of its divisors is an integer number (11900065408).

Almost surely, 2284323612748 is an apocalyptic number.

284323612748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

284323612748 is an abundant number, since it is smaller than the sum of its proper divisors (286879526836).

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

284323612748 is a wasteful number, since it uses less digits than its factorization.

284323612748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14742 (or 14740 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 50.

The spelling of 284323612748 in words is "two hundred eighty-four billion, three hundred twenty-three million, six hundred twelve thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 28 241 482 964 1687 3374 4027 6748 8054 10463 16108 20926 28189 41852 56378 73241 112756 146482 292964 970507 1941014 2521583 3882028 5043166 6793549 10086332 13587098 17651081 27174196 35302162 42134501 70604324 84269002 168538004 294941507 589883014 1179766028 10154414741 20308829482 40617658964 71080903187 142161806374 284323612748