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10255244512000 = 28531013331627
BaseRepresentation
bin1001010100111011110000…
…1101001100101100000000
31100022101120121210220220211
42111032330031030230000
52321010220043341000
633451105544443504
72105626343035435
oct225167415145400
940271517726824
1010255244512000
1132a425219a804
121197650779594
135950b0916747
142764dc28db8c
1512bb683b17ba
hex953bc34cb00

10255244512000 has 144 divisors (see below), whose sum is σ = 25550425004832. Its totient is φ = 4101563289600.

The previous prime is 10255244511971. The next prime is 10255244512001. The reversal of 10255244512000 is 21544255201.

It is a super-2 number, since 2×102552445120002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10255244512001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 324240187 + ... + 324271813.

It is an arithmetic number, because the mean of its divisors is an integer number (177433506978).

Almost surely, 210255244512000 is an apocalyptic number.

10255244512000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10255244512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12775212502416).

10255244512000 is an abundant number, since it is smaller than the sum of its proper divisors (15295180492832).

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

10255244512000 is an equidigital number, since it uses as much as digits as its factorization.

10255244512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41791 (or 41767 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

Adding to 10255244512000 its reverse (21544255201), we get a palindrome (10276788767201).

The spelling of 10255244512000 in words is "ten trillion, two hundred fifty-five billion, two hundred forty-four million, five hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 10133 16000 20266 31627 32000 40532 50665 63254 81064 101330 126508 158135 162128 202660 253016 253325 316270 324256 405320 506032 506650 632540 648512 790675 810640 1012064 1013300 1265080 1266625 1297024 1581350 1621280 2024128 2026600 2530160 2533250 2594048 3162700 3242560 3953375 4048256 4053200 5060320 5066500 6325400 6485120 7906750 8096512 8106400 10120640 10133000 12650800 12970240 15813500 16212800 20241280 20266000 25301600 31627000 32425600 40482560 40532000 50603200 63254000 64851200 81064000 101206400 126508000 162128000 202412800 253016000 320476391 324256000 506032000 640952782 1012064000 1281905564 1602381955 2563811128 3204763910 5127622256 6409527820 8011909775 10255244512 12819055640 16023819550 20510489024 25638111280 32047639100 40059548875 41020978048 51276222560 64095278200 80119097750 82041956096 102552445120 128190556400 160238195500 205104890240 256381112800 320476391000 410209780480 512762225600 640952782000 1025524451200 1281905564000 2051048902400 2563811128000 5127622256000 10255244512000