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198461030250 = 23537177383367
BaseRepresentation
bin1011100011010100110…
…0101111111101101010
3200222021002102220212210
42320311030233331222
511222422010432000
6231101032345550
720224022631510
oct2706514577552
9628232386783
10198461030250
117719209447a
12325682452b6
131593a5342a2
1498699564b0
1552682cd350
hex2e3532ff6a

198461030250 has 512 divisors, whose sum is σ = 616633565184. Its totient is φ = 41488588800.

The previous prime is 198461030237. The next prime is 198461030269. The reversal of 198461030250 is 52030164891.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 198461030199 and 198461030208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 540765567 + ... + 540765933.

It is an arithmetic number, because the mean of its divisors is an integer number (1204362432).

Almost surely, 2198461030250 is an apocalyptic number.

198461030250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198461030250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308316782592).

198461030250 is an abundant number, since it is smaller than the sum of its proper divisors (418172534934).

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

198461030250 is a wasteful number, since it uses less digits than its factorization.

198461030250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 198461030250 in words is "one hundred ninety-eight billion, four hundred sixty-one million, thirty thousand, two hundred fifty".