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21544435412055 = 32528135320532351
BaseRepresentation
bin1001110011000001101000…
…11010110110110001010111
32211021121221202011110101100
410321200310122312301113
510310441000431141210
6113453213233001143
74352351123305503
oct471406432666127
984247852143340
1021544435412055
116956a42145166
1224bb5579b31b3
13c0382966106a
14546a8318b303
152756482e85c0
hex1398346b6c57

21544435412055 has 96 divisors (see below), whose sum is σ = 37617049596672. Its totient is φ = 11406624768000.

The previous prime is 21544435412039. The next prime is 21544435412083. The reversal of 21544435412055 is 55021453444512.

21544435412055 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 4 + 435 + 4 + 1 + 205 + 5 = 666.

It is not a de Polignac number, because 21544435412055 - 24 = 21544435412039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 21544435412055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9163944130 + ... + 9163946480.

It is an arithmetic number, because the mean of its divisors is an integer number (391844266632).

Almost surely, 221544435412055 is an apocalyptic number.

21544435412055 is a deficient number, since it is larger than the sum of its proper divisors (16072614184617).

21544435412055 is a wasteful number, since it uses less digits than its factorization.

21544435412055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

Adding to 21544435412055 its reverse (55021453444512), we get a palindrome (76565888856567).

The spelling of 21544435412055 in words is "twenty-one trillion, five hundred forty-four billion, four hundred thirty-five million, four hundred twelve thousand, fifty-five".

Divisors: 1 3 5 9 15 45 281 353 843 1059 1405 1765 2053 2351 2529 3177 4215 5295 6159 7053 10265 11755 12645 15885 18477 21159 30795 35265 92385 99193 105795 297579 495965 576893 660631 724709 829903 892737 1487895 1730679 1981893 2174127 2489709 2884465 3303155 3623545 4149515 4463685 4826603 5192037 5945679 6522381 7469127 8653395 9909465 10870635 12448545 14479809 24133015 25960185 29728395 32611905 37345635 43439427 72399045 203643229 217197135 233202743 610929687 699608229 1018216145 1166013715 1356275443 1703790859 1832789061 2098824687 3054648435 3498041145 4068826329 5111372577 6781377215 8518954295 9163945305 10494123435 12206478987 15334117731 20344131645 25556862885 61032394935 76670588655 478765231379 1436295694137 2393826156895 4308887082411 7181478470685 21544435412055