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21057414741 = 3211219336469
BaseRepresentation
bin10011100111000111…
…101010011001010101
32000100112020111120200
4103213013222121111
5321111144232431
613401301251113
71343552033466
oct234707523125
960315214520
1021057414741
118a263a8400
1240b8103a99
131ca779812c
14103a8dad6d
158339ddee6
hex4e71ea655

21057414741 has 18 divisors (see below), whose sum is σ = 33432756630. Its totient is φ = 12762068880.

The previous prime is 21057414737. The next prime is 21057414757. The reversal of 21057414741 is 14741475012.

21057414741 is a `hidden beast` number, since 2 + 1 + 0 + 574 + 1 + 47 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13059689841 + 7997724900 = 114279^2 + 89430^2 .

It is not a de Polignac number, because 21057414741 - 22 = 21057414737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21057414696 and 21057414705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21057414761) 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 17 ways as a sum of consecutive naturals, for example, 9667146 + ... + 9669323.

Almost surely, 221057414741 is an apocalyptic number.

It is an amenable number.

21057414741 is a deficient number, since it is larger than the sum of its proper divisors (12375341889).

21057414741 is a wasteful number, since it uses less digits than its factorization.

21057414741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19336497 (or 19336483 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 21057414741 its reverse (14741475012), we get a palindrome (35798889753).

The spelling of 21057414741 in words is "twenty-one billion, fifty-seven million, four hundred fourteen thousand, seven hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 19336469 58009407 174028221 212701159 638103477 1914310431 2339712749 7019138247 21057414741