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22644111221316 = 22321348384853037
BaseRepresentation
bin1010010011000001111100…
…01101001010001001000100
32222011202102001012122000200
411021200332031022021010
510432000114433040231
6120054321110010500
74524661120411524
oct511407615121104
988152361178020
1022644111221316
11724034a4a9922
1226586b7046a30
13c8343b21b7a0
14583da3585684
1529405a5acbe6
hex14983e34a244

22644111221316 has 36 divisors (see below), whose sum is σ = 61642302770412. Its totient is φ = 6967418837184.

The previous prime is 22644111221287. The next prime is 22644111221317. The reversal of 22644111221316 is 61312211144622.

22644111221316 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 4 + 111 + 221 + 316 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5629278212100 + 17014833009216 = 2372610^2 + 4124904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22644111221317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24192426051 + ... + 24192426986.

It is an arithmetic number, because the mean of its divisors is an integer number (1712286188067).

Almost surely, 222644111221316 is an apocalyptic number.

22644111221316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22644111221316 is an abundant number, since it is smaller than the sum of its proper divisors (38998191549096).

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

22644111221316 is a wasteful number, since it uses less digits than its factorization.

22644111221316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48384853060 (or 48384853055 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 22644111221316 its reverse (61312211144622), we get a palindrome (83956322365938).

The spelling of 22644111221316 in words is "twenty-two trillion, six hundred forty-four billion, one hundred eleven million, two hundred twenty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 48384853037 96769706074 145154559111 193539412148 290309118222 435463677333 580618236444 629003089481 870927354666 1258006178962 1741854709332 1887009268443 2516012357924 3774018536886 5661027805329 7548037073772 11322055610658 22644111221316