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2198482191360 = 210325713524287
BaseRepresentation
bin11111111111011111110…
…000000000010000000000
321210011200000002212102200
4133333133300000100000
5242004442420110420
64401545131113200
7314556303203010
oct37773760002000
97704600085380
102198482191360
11778409978984
122b60b72a2800
1312c415297410
147859b153c40
153c2c308ab90
hex1ffdfc00400

2198482191360 has 528 divisors, whose sum is σ = 9375628394496. Its totient is φ = 463854698496.

The previous prime is 2198482191349. The next prime is 2198482191391. The reversal of 2198482191360 is 631912848912.

It is a happy number.

2198482191360 is a `hidden beast` number, since 2 + 1 + 98 + 4 + 8 + 2 + 191 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2198482191297 and 2198482191306.

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 47 ways as a sum of consecutive naturals, for example, 3931137 + ... + 4455423.

Almost surely, 22198482191360 is an apocalyptic number.

2198482191360 is a gapful number since it is divisible by the number (20) 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 2198482191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687814197248).

2198482191360 is an abundant number, since it is smaller than the sum of its proper divisors (7177146203136).

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

2198482191360 is a wasteful number, since it uses less digits than its factorization.

2198482191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524338 (or 524317 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2198482191360 in words is "two trillion, one hundred ninety-eight billion, four hundred eighty-two million, one hundred ninety-one thousand, three hundred sixty".