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20002194146880 = 2635511611093517
BaseRepresentation
bin1001000110001000111111…
…01011010100011001000000
32121211012011022010201100000
410203010133223110121000
510110203443200200010
6110312514154200000
74133053005662361
oct443043753243100
977735138121300
1020002194146880
11641197915a070
1222b0686423000
13b21277a461ba
144d217b813b68
1524a4827e87c0
hex12311fad4640

20002194146880 has 1344 divisors, whose sum is σ = 79857886268160. Its totient is φ = 4724423884800.

The previous prime is 20002194146873. The next prime is 20002194146881. The reversal of 20002194146880 is 8864149120002.

20002194146880 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 21 + 94 + 1 + 468 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20002194146881) 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 191 ways as a sum of consecutive naturals, for example, 5687286882 + ... + 5687290398.

It is an arithmetic number, because the mean of its divisors is an integer number (59418070140).

Almost surely, 220002194146880 is an apocalyptic number.

20002194146880 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 20002194146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39928943134080).

20002194146880 is an abundant number, since it is smaller than the sum of its proper divisors (59855692121280).

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

20002194146880 is a wasteful number, since it uses less digits than its factorization.

20002194146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20002194146880 in words is "twenty trillion, two billion, one hundred ninety-four million, one hundred forty-six thousand, eight hundred eighty".