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20010553533504 = 26376718111789
BaseRepresentation
bin1001000110011000100011…
…11011110110010001000000
32121211222201212210120000000
410203030101323312101000
510110323103201033004
6110320415453000000
74133500112413062
oct443142173662100
977758655716000
1020010553533504
116415478882a56
1222b2219a83000
13b21caa87ab11
144d2731b0d732
1524a7c1633c39
hex123311ef6440

20010553533504 has 448 divisors, whose sum is σ = 60781535942400. Its totient is φ = 6533773424640.

The previous prime is 20010553533499. The next prime is 20010553533521. The reversal of 20010553533504 is 40533535501002.

20010553533504 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 553 + 53 + 3 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1697386042 + ... + 1697397830.

It is an arithmetic number, because the mean of its divisors is an integer number (135673071300).

Almost surely, 220010553533504 is an apocalyptic number.

20010553533504 is a gapful number since it is divisible by the number (24) 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 20010553533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30390767971200).

20010553533504 is an abundant number, since it is smaller than the sum of its proper divisors (40770982408896).

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

20010553533504 is an equidigital number, since it uses as much as digits as its factorization.

20010553533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12042 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 20010553533504 in words is "twenty trillion, ten billion, five hundred fifty-three million, five hundred thirty-three thousand, five hundred four".