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4414536544 = 251122356239
BaseRepresentation
bin1000001110010000…
…00111101101100000
3102101122201200200111
410013020013231200
533020110132134
62010014501104
7214252640635
oct40710075540
912348650614
104414536544
111965988710
12a32504794
13554782702
142dc42018c
151ac85ac64
hex107207b60

4414536544 has 48 divisors (see below), whose sum is σ = 9523906560. Its totient is φ = 1997573760.

The previous prime is 4414536517. The next prime is 4414536559. The reversal of 4414536544 is 4456354144.

It is a happy number.

It is a super-2 number, since 2×44145365442 = 38976265796622927872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4414536497 and 4414536506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50377 + ... + 106615.

It is an arithmetic number, because the mean of its divisors is an integer number (198414720).

Almost surely, 24414536544 is an apocalyptic number.

4414536544 is a gapful number since it is divisible by the number (44) 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 4414536544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761953280).

4414536544 is an abundant number, since it is smaller than the sum of its proper divisors (5109370016).

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

4414536544 is a wasteful number, since it uses less digits than its factorization.

4414536544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56483 (or 56475 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The square root of 4414536544 is about 66441.9787784801. The cubic root of 4414536544 is about 1640.4451181231.

The spelling of 4414536544 in words is "four billion, four hundred fourteen million, five hundred thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 223 352 446 892 1784 2453 3568 4906 7136 9812 19624 39248 56239 78496 112478 224956 449912 618629 899824 1237258 1799648 2474516 4949032 9898064 12541297 19796128 25082594 50165188 100330376 137954267 200660752 275908534 401321504 551817068 1103634136 2207268272 4414536544