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55653999921 = 321322322632
BaseRepresentation
bin110011110101001111…
…001010010100110001
312022122121211010102100
4303311033022110301
51402434410444141
641322254211013
74010105123352
oct636517122461
9168577733370
1055653999921
112166a260963
12a9524b3a69
13532c253100
14299d5d3d29
1516aae340b6
hexcf53ca531

55653999921 has 81 divisors (see below), whose sum is σ = 91345152171. Its totient is φ = 32634984096.

The previous prime is 55653999911. The next prime is 55653999959. The reversal of 55653999921 is 12999935655.

The square root of 55653999921 is 235911.

It is a perfect power (a square), and thus also a powerful number.

55653999921 is a `hidden beast` number, since 5 + 5 + 6 + 539 + 9 + 9 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8232840225 + 47421159696 = 90735^2 + 217764^2 .

It is not a de Polignac number, because 55653999921 - 221 = 55651902769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55653999901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 211612036 + ... + 211612298.

Almost surely, 255653999921 is an apocalyptic number.

55653999921 is the 235911-st square number.

55653999921 is the 117956-th centered octagonal number.

It is an amenable number.

55653999921 is a deficient number, since it is larger than the sum of its proper divisors (35691152250).

55653999921 is a wasteful number, since it uses less digits than its factorization.

55653999921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its digits is 29524500, while the sum is 63.

The spelling of 55653999921 in words is "fifty-five billion, six hundred fifty-three million, nine hundred ninety-nine thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 23 39 69 117 169 207 263 299 507 529 789 897 1521 1587 2367 2691 3419 3887 4761 6049 6877 10257 11661 18147 20631 30771 34983 44447 54441 61893 69169 78637 89401 133341 139127 207507 235911 268203 400023 417381 622521 707733 804609 899197 1022281 1252143 1590887 1808651 2697591 3066843 4772661 5425953 8092773 9200529 11689561 14317983 16277859 20681531 23512463 35068683 36590401 62044593 70537389 105206049 109771203 186133779 211612167 268859903 329313609 475675213 806579709 1427025639 2419739127 4281076917 6183777769 18551333307 55653999921