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199130185127808 = 27321143402790749
BaseRepresentation
bin101101010001101110011011…
…111100101101011110000000
3222010001122210222111100022200
4231101232123330231132000
5202100022104343042213
61543303051050033200
756641452423016164
oct5521563374553600
9863048728440280
10199130185127808
11584a3701211880
121a400920118800
138715b85345a5c
143725d494b6ca4
151804c76a59273
hexb51b9bf2d780

199130185127808 has 384 divisors, whose sum is σ = 639813723120000. Its totient is φ = 58923881533440.

The previous prime is 199130185127789. The next prime is 199130185127873. The reversal of 199130185127808 is 808721581031991.

199130185127808 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 30 + 1 + 8 + 512 + 7 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2194250818 + ... + 2194341566.

It is an arithmetic number, because the mean of its divisors is an integer number (1666181570625).

Almost surely, 2199130185127808 is an apocalyptic number.

199130185127808 is a gapful number since it is divisible by the number (18) 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 199130185127808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319906861560000).

199130185127808 is an abundant number, since it is smaller than the sum of its proper divisors (440683537992192).

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

199130185127808 is a wasteful number, since it uses less digits than its factorization.

199130185127808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94850 (or 94835 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 63.

The spelling of 199130185127808 in words is "one hundred ninety-nine trillion, one hundred thirty billion, one hundred eighty-five million, one hundred twenty-seven thousand, eight hundred eight".