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2199954343680 = 283251719591233
BaseRepresentation
bin100000000000110111011…
…111110100011100000000
321210022110121012221202200
4200000313133310130000
5242021001302444210
64402351200313200
7314640630245202
oct40006737643400
97708417187680
102199954343680
11778aa4968795
122b6448312800
1312c5bb289272
147869a888772
153c35c4340c0
hex200377f4700

2199954343680 has 432 divisors, whose sum is σ = 8483545717920. Its totient is φ = 523084234752.

The previous prime is 2199954343667. The next prime is 2199954343687. The reversal of 2199954343680 is 863434599912.

2199954343680 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 9 + 543 + 4 + 3 + 6 + 80 = 666.

It is a super-2 number, since 2×21999543436802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199954343687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3425344 + ... + 4016576.

It is an arithmetic number, because the mean of its divisors is an integer number (19637837310).

Almost surely, 22199954343680 is an apocalyptic number.

2199954343680 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 2199954343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241772858960).

2199954343680 is an abundant number, since it is smaller than the sum of its proper divisors (6283591374240).

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

2199954343680 is a wasteful number, since it uses less digits than its factorization.

2199954343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591296 (or 591279 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 2199954343680 in words is "two trillion, one hundred ninety-nine billion, nine hundred fifty-four million, three hundred forty-three thousand, six hundred eighty".