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19942336512 = 21133751521
BaseRepresentation
bin10010100100101001…
…111110100000000000
31220110211000122211000
4102210221332200000
5311320214232022
613054505252000
71304122030530
oct224451764000
956424018730
1019942336512
118503a2464a
123a46794000
131b5a768327
14d727954c0
157bab7a6ac
hex4a4a7e800

19942336512 has 192 divisors, whose sum is σ = 67514428800. Its totient is φ = 5697699840.

The previous prime is 19942336439. The next prime is 19942336537. The reversal of 19942336512 is 21563324991.

19942336512 is a `hidden beast` number, since 1 + 99 + 42 + 3 + 3 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×199423365122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361312 + ... + 412832.

It is an arithmetic number, because the mean of its divisors is an integer number (351637650).

Almost surely, 219942336512 is an apocalyptic number.

19942336512 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 19942336512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33757214400).

19942336512 is an abundant number, since it is smaller than the sum of its proper divisors (47572092288).

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

19942336512 is an equidigital number, since it uses as much as digits as its factorization.

19942336512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51559 (or 51533 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 19942336512 in words is "nineteen billion, nine hundred forty-two million, three hundred thirty-six thousand, five hundred twelve".