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20452151320000 = 26541702730029
BaseRepresentation
bin1001010011001111000110…
…01101101101110111000000
32200102012120120221102111221
410221213203031231313000
510140042001214220000
6111255331050044424
74210422242565421
oct451474315556700
980365516842457
1020452151320000
116575788262aa4
122363920119714
13b548252aaaba
14509c64759648
15257019e2761a
hex1299e336ddc0

20452151320000 has 140 divisors (see below), whose sum is σ = 50719355767080. Its totient is φ = 8180107648000.

The previous prime is 20452151319983. The next prime is 20452151320009. The reversal of 20452151320000 is 2315125402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20452151320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 681064986 + ... + 681095014.

It is an arithmetic number, because the mean of its divisors is an integer number (362281112622).

Almost surely, 220452151320000 is an apocalyptic number.

20452151320000 is a gapful number since it is divisible by the number (20) 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 20452151320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359677883540).

20452151320000 is an abundant number, since it is smaller than the sum of its proper divisors (30267204447080).

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

20452151320000 is an equidigital number, since it uses as much as digits as its factorization.

20452151320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47088 (or 47063 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 20452151320000 its reverse (2315125402), we get a palindrome (20454466445402).

The spelling of 20452151320000 in words is "twenty trillion, four hundred fifty-two billion, one hundred fifty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 17027 20000 30029 34054 40000 60058 68108 85135 120116 136216 150145 170270 240232 272432 300290 340540 425675 480464 544864 600580 681080 750725 851350 960928 1089728 1201160 1362160 1501450 1702700 1921856 2128375 2402320 2724320 3002900 3405400 3753625 4256750 4804640 5448640 6005800 6810800 7507250 8513500 9609280 10641875 12011600 13621600 15014500 17027000 18768125 21283750 24023200 27243200 30029000 34054000 37536250 42567500 48046400 60058000 68108000 75072500 85135000 120116000 136216000 150145000 170270000 240232000 300290000 340540000 511303783 600580000 681080000 1022607566 1201160000 2045215132 2556518915 4090430264 5113037830 8180860528 10226075660 12782594575 16361721056 20452151320 25565189150 32723442112 40904302640 51130378300 63912972875 81808605280 102260756600 127825945750 163617210560 204521513200 255651891500 319564864375 409043026400 511303783000 639129728750 818086052800 1022607566000 1278259457500 2045215132000 2556518915000 4090430264000 5113037830000 10226075660000 20452151320000