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284327197152 = 2534337682901
BaseRepresentation
bin1000010001100110011…
…10001011100111100000
31000011220020210011001120
410020303032023213200
514124300230302102
6334341302332240
726353615204515
oct4106316134740
91004806704046
10284327197152
11aa645321579
124713072a080
1320a72aa677b
14da9382330c
1575e179a6bc
hex423338b9e0

284327197152 has 48 divisors (see below), whose sum is σ = 746532076752. Its totient is φ = 94753740800.

The previous prime is 284327197093. The next prime is 284327197153. The reversal of 284327197152 is 251791723482.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2843271971522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 284327197095 and 284327197104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284327197153) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 74902 + ... + 757802.

It is an arithmetic number, because the mean of its divisors is an integer number (15552751599).

Almost surely, 2284327197152 is an apocalyptic number.

It is an amenable number.

284327197152 is an abundant number, since it is smaller than the sum of its proper divisors (462204879600).

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

284327197152 is a wasteful number, since it uses less digits than its factorization.

284327197152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687251 (or 687243 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The spelling of 284327197152 in words is "two hundred eighty-four billion, three hundred twenty-seven million, one hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4337 8674 13011 17348 26022 34696 52044 69392 104088 138784 208176 416352 682901 1365802 2048703 2731604 4097406 5463208 8194812 10926416 16389624 21852832 32779248 65558496 2961741637 5923483274 8885224911 11846966548 17770449822 23693933096 35540899644 47387866192 71081799288 94775732384 142163598576 284327197152