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199204203744 = 253371319133349
BaseRepresentation
bin1011100110000101111…
…1101110110011100000
3201001011212212001021000
42321201133232303200
511230432234004434
6231302501232000
720251315536210
oct2714137566340
9631155761230
10199204203744
1177533641747
1232735102600
1315a284ab810
1498da52c240
1552ad67cb99
hex2e617eece0

199204203744 has 384 divisors, whose sum is σ = 752734080000. Its totient is φ = 49771874304.

The previous prime is 199204203673. The next prime is 199204203769. The reversal of 199204203744 is 447302402991.

199204203744 is a `hidden beast` number, since 199 + 2 + 0 + 420 + 37 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199204203744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427182 + ... + 1560530.

It is an arithmetic number, because the mean of its divisors is an integer number (1960245000).

Almost surely, 2199204203744 is an apocalyptic number.

199204203744 is a gapful number since it is divisible by the number (14) 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 199204203744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376367040000).

199204203744 is an abundant number, since it is smaller than the sum of its proper divisors (553529876256).

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

199204203744 is a wasteful number, since it uses less digits than its factorization.

199204203744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133407 (or 133393 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 199204203744 in words is "one hundred ninety-nine billion, two hundred four million, two hundred three thousand, seven hundred forty-four".