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218200780801 = 3975153106661
BaseRepresentation
bin1100101100110111000…
…1111011000000000001
3202212012210021011000001
43023031301323000001
512033333344441201
6244123504000001
721523135014613
oct3131561730001
9685183234001
10218200780801
11845a171a203
1236357000001
131776501b263
14a7bd454db3
155a2128d301
hex32cdc7b001

218200780801 has 8 divisors (see below), whose sum is σ = 218794907304. Its totient is φ = 217606878720.

The previous prime is 218200780769. The next prime is 218200780829. The reversal of 218200780801 is 108087002812.

It can be written as a sum of positive squares in 4 ways, for example, as 95466168576 + 122734612225 = 308976^2 + 350335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 218200780801 - 25 = 218200780769 is a prime.

It is a super-2 number, since 2×2182007808012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218200780201) 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 7 ways as a sum of consecutive naturals, for example, 1992411 + ... + 2099071.

It is an arithmetic number, because the mean of its divisors is an integer number (27349363413).

Almost surely, 2218200780801 is an apocalyptic number.

It is an amenable number.

218200780801 is a deficient number, since it is larger than the sum of its proper divisors (594126503).

218200780801 is a wasteful number, since it uses less digits than its factorization.

218200780801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112211.

The product of its (nonzero) digits is 14336, while the sum is 37.

The spelling of 218200780801 in words is "two hundred eighteen billion, two hundred million, seven hundred eighty thousand, eight hundred one".

Divisors: 1 397 5153 106661 2045741 42344417 549624133 218200780801