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2198409260320 = 2557131011494947
BaseRepresentation
bin11111111111011011011…
…001110010110100100000
321210011110220212120212001
4133333123121302310200
5242004320232312240
64401534004013344
7314554426251040
oct37773331626440
97704426776761
102198409260320
11778381795799
122b6096991254
1312c403140760
14785915ab720
153c2bb98189a
hex1ffdb672d20

2198409260320 has 192 divisors, whose sum is σ = 6455592089856. Its totient is φ = 688871116800.

The previous prime is 2198409260287. The next prime is 2198409260357. The reversal of 2198409260320 is 230629048912.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723087 + ... + 2218033.

It is an arithmetic number, because the mean of its divisors is an integer number (33622875468).

Almost surely, 22198409260320 is an apocalyptic number.

2198409260320 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 2198409260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227796044928).

2198409260320 is an abundant number, since it is smaller than the sum of its proper divisors (4257182829536).

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

2198409260320 is a wasteful number, since it uses less digits than its factorization.

2198409260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495083 (or 1495075 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 2198409260320 in words is "two trillion, one hundred ninety-eight billion, four hundred nine million, two hundred sixty thousand, three hundred twenty".