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2181106636800 = 2113527131767137
BaseRepresentation
bin11111101111010100000…
…101100001100000000000
321201111211001221020111220
4133233110011201200000
5241213401244334200
64345553032435040
7313402566342360
oct37572405414000
97644731836456
102181106636800
11771002920633
122b2868248a80
1312a8a65413a0
14777cd6349a0
153bb0792d4a0
hex1fbd4161800

2181106636800 has 2304 divisors, whose sum is σ = 9606255160320. Its totient is φ = 423540817920.

The previous prime is 2181106636799. The next prime is 2181106636847. The reversal of 2181106636800 is 86366011812.

It is a super-2 number, since 2×21811066368002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 15920486332 + ... + 15920486468.

It is an arithmetic number, because the mean of its divisors is an integer number (4169381580).

Almost surely, 22181106636800 is an apocalyptic number.

2181106636800 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 2181106636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803127580160).

2181106636800 is an abundant number, since it is smaller than the sum of its proper divisors (7425148523520).

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

2181106636800 is a wasteful number, since it uses less digits than its factorization.

2181106636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 2181106636800 in words is "two trillion, one hundred eighty-one billion, one hundred six million, six hundred thirty-six thousand, eight hundred".