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200419589412 = 22337437978041
BaseRepresentation
bin1011101010100111110…
…0000011110100100100
3201011022120211000222000
42322221330003310210
511240424403330122
6232023235205300
720323404254520
oct2725174036444
9634276730860
10200419589412
1177aa76a6a09
1232a14146830
1315b9022c033
1499b3b04d80
1553302070ac
hex2ea9f03d24

200419589412 has 192 divisors, whose sum is σ = 615345561600. Its totient is φ = 55222352640.

The previous prime is 200419589351. The next prime is 200419589459. The reversal of 200419589412 is 214985914002.

It is a happy number.

200419589412 is a `hidden beast` number, since 20 + 0 + 4 + 1 + 9 + 589 + 41 + 2 = 666.

200419589412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2529112 + ... + 2607152.

It is an arithmetic number, because the mean of its divisors is an integer number (3204924800).

Almost surely, 2200419589412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200419589412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307672780800).

200419589412 is an abundant number, since it is smaller than the sum of its proper divisors (414925972188).

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

200419589412 is a wasteful number, since it uses less digits than its factorization.

200419589412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78183 (or 78175 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 200419589412 in words is "two hundred billion, four hundred nineteen million, five hundred eighty-nine thousand, four hundred twelve".