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42865544740864 = 2144673559877
BaseRepresentation
bin10011011111100011010011…
…00100010100000000000000
312121202220110111220102120011
421233301221210110000000
521104302113423201424
6231100054232554304
712012635105334556
oct1157615144240000
9177686414812504
1042865544740864
11127271a255a57a
124983768252994
131abc2851b2a21
14a829bc325bd6
154e50703ea694
hex26fc69914000

42865544740864 has 60 divisors (see below), whose sum is σ = 85746971819124. Its totient is φ = 21428147585024.

The previous prime is 42865544740861. The next prime is 42865544740867. The reversal of 42865544740864 is 46804744556824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42865544740861) and next prime (42865544740867).

It can be written as a sum of positive squares in 2 ways, for example, as 27388559294464 + 15476985446400 = 5233408^2 + 3934080^2 .

It is a super-2 number, since 2×428655447408642 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42865544740864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42865544740861) 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 3 ways as a sum of consecutive naturals, for example, 76282494 + ... + 76842370.

Almost surely, 242865544740864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42865544740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42873485909562).

42865544740864 is an abundant number, since it is smaller than the sum of its proper divisors (42881427078260).

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

42865544740864 is an frugal number, since it uses more digits than its factorization.

42865544740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564578 (or 564552 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 67.

The spelling of 42865544740864 in words is "forty-two trillion, eight hundred sixty-five billion, five hundred forty-four million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4673 8192 9346 16384 18692 37384 74768 149536 299072 559877 598144 1119754 1196288 2239508 2392576 4479016 4785152 8958032 9570304 17916064 19140608 35832128 38281216 71664256 76562432 143328512 286657024 573314048 1146628096 2293256192 2616305221 4586512384 5232610442 9173024768 10465220884 20930441768 41860883536 83721767072 167443534144 334887068288 669774136576 1339548273152 2679096546304 5358193092608 10716386185216 21432772370432 42865544740864