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21076942041 = 361922832
BaseRepresentation
bin10011101000010010…
…001001110011011001
32000101212222121000000
4103220102021303121
5321131144121131
613403240003213
71344210023421
oct235022116331
960355877000
1021076942041
118a36425571
124102760509
131cab84434c
14103d341481
15835599ce6
hex4e8489cd9

21076942041 has 63 divisors (see below), whose sum is σ = 33469969509. Its totient is φ = 13264714872.

The previous prime is 21076942027. The next prime is 21076942087. The reversal of 21076942041 is 14024967012.

It is a happy number.

The square root of 21076942041 is 145179.

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

It is a de Polignac number, because none of the positive numbers 2k-21076942041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21076941987 and 21076942005.

It is not an unprimeable number, because it can be changed into a prime (21076942241) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 74476686 + ... + 74476968.

Almost surely, 221076942041 is an apocalyptic number.

21076942041 is the 145179-th square number.

21076942041 is the 72590-th centered octagonal number.

It is an amenable number.

21076942041 is a deficient number, since it is larger than the sum of its proper divisors (12393027468).

21076942041 is an frugal number, since it uses more digits than its factorization.

21076942041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 21076942041 by its sum of digits (36), we get a square (758769913476 = 8710742).

The spelling of 21076942041 in words is "twenty-one billion, seventy-six million, nine hundred forty-two thousand, forty-one".

Divisors: 1 3 9 19 27 57 81 171 243 283 361 513 729 849 1083 1539 2547 3249 4617 5377 7641 9747 13851 16131 22923 29241 48393 68769 80089 87723 102163 145179 206307 240267 263169 306489 435537 720801 919467 1306611 1521691 2162403 2758401 3919833 4565073 6487209 8275203 13695219 19461627 24825609 28912129 41085657 58384881 74476827 86736387 123256971 260209161 369770913 780627483 1109312739 2341882449 7025647347 21076942041