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19990034330112 = 29337211109151163
BaseRepresentation
bin1001000101110010010101…
…11001010011001000000000
32121210000202212022000121000
410202321022321103020000
510110004042242030422
6110303143415132000
74132142454151500
oct442711271231000
977700685260530
1019990034330112
1164077a9270820
1222aa252074000
13b2008a756452
144d17468b3a00
15249ec0009cac
hex122e4ae53200

19990034330112 has 1920 divisors, whose sum is σ = 76748844902400. Its totient is φ = 5079158784000.

The previous prime is 19990034330111. The next prime is 19990034330129. The reversal of 19990034330112 is 21103343009991.

It is a happy number.

19990034330112 is a `hidden beast` number, since 1 + 99 + 90 + 0 + 34 + 330 + 112 = 666.

It is not an unprimeable number, because it can be changed into a prime (19990034330111) 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 191 ways as a sum of consecutive naturals, for example, 122638247343 + ... + 122638247505.

It is an arithmetic number, because the mean of its divisors is an integer number (39973356720).

Almost surely, 219990034330112 is an apocalyptic number.

19990034330112 is a gapful number since it is divisible by the number (12) 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 19990034330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38374422451200).

19990034330112 is an abundant number, since it is smaller than the sum of its proper divisors (56758810572288).

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

19990034330112 is a wasteful number, since it uses less digits than its factorization.

19990034330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 19990034330112 in words is "nineteen trillion, nine hundred ninety billion, thirty-four million, three hundred thirty thousand, one hundred twelve".