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20001811715904 = 26319232931326263
BaseRepresentation
bin1001000110001000010001…
…11000011101011101000000
32121211011011122112012122210
410203010020320131131000
510110202202244402104
6110312412213302120
74133040353243304
oct443041070353500
977734148465583
1020001811715904
1164117a22a4007
1222b059a334940
13b21216746695
144d2142b03d04
1524a45de55989
hex123108e1d740

20001811715904 has 448 divisors, whose sum is σ = 60327693619200. Its totient is φ = 5814542942208.

The previous prime is 20001811715863. The next prime is 20001811715909. The reversal of 20001811715904 is 40951711810002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001811715909) 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 63 ways as a sum of consecutive naturals, for example, 761583477 + ... + 761609739.

It is an arithmetic number, because the mean of its divisors is an integer number (134660030400).

Almost surely, 220001811715904 is an apocalyptic number.

20001811715904 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 20001811715904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30163846809600).

20001811715904 is an abundant number, since it is smaller than the sum of its proper divisors (40325881903296).

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

20001811715904 is a wasteful number, since it uses less digits than its factorization.

20001811715904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26662 (or 26652 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 20001811715904 in words is "twenty trillion, one billion, eight hundred eleven million, seven hundred fifteen thousand, nine hundred four".