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10244422452000 = 2535311595313037
BaseRepresentation
bin1001010100010011011100…
…1010010100001100100000
31100021100122102012022110210
42111010313022110030200
52320321034121431000
633442120034254120
72105064224041212
oct225046712241440
940240572168423
1010244422452000
11329a6a9447970
121195530427340
13594077821449
14275b92c9c5b2
1512b733270350
hex95137294320

10244422452000 has 384 divisors, whose sum is σ = 36620662111488. Its totient is φ = 2482888704000.

The previous prime is 10244422451981. The next prime is 10244422452013. The reversal of 10244422452000 is 25422444201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 785789482 + ... + 785802518.

It is an arithmetic number, because the mean of its divisors is an integer number (95366307582).

Almost surely, 210244422452000 is an apocalyptic number.

10244422452000 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 10244422452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18310331055744).

10244422452000 is an abundant number, since it is smaller than the sum of its proper divisors (26376239659488).

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

10244422452000 is a wasteful number, since it uses less digits than its factorization.

10244422452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19029 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 10244422452000 its reverse (25422444201), we get a palindrome (10269844896201).

The spelling of 10244422452000 in words is "ten trillion, two hundred forty-four billion, four hundred twenty-two million, four hundred fifty-two thousand".