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21556406041 = 41235812
BaseRepresentation
bin10100000100110111…
…001010011100011001
32001122022011212221221
4110010313022130121
5323121414443131
613523004332041
71362121266562
oct240467123431
961568155857
1021556406041
119162035a05
124217244021
132056c89061
141086cad169
15862708411
hex504dca719

21556406041 has 9 divisors (see below), whose sum is σ = 22101167389. Its totient is φ = 21024767200.

The previous prime is 21556406029. The next prime is 21556406051. The reversal of 21556406041 is 14060465512.

The square root of 21556406041 is 146821.

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

It can be written as a sum of positive squares in 4 ways, for example, as 281266441 + 21275139600 = 16771^2 + 145860^2 .

It is not a de Polignac number, because 21556406041 - 229 = 21019535129 is a prime.

It is a super-2 number, since 2×215564060412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21556405988 and 21556406006.

It is not an unprimeable number, because it can be changed into a prime (21556406051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6017871 + ... + 6021451.

Almost surely, 221556406041 is an apocalyptic number.

21556406041 is the 146821-st square number.

21556406041 is the 73411-st centered octagonal number.

It is an amenable number.

21556406041 is a deficient number, since it is larger than the sum of its proper divisors (544761348).

21556406041 is an frugal number, since it uses more digits than its factorization.

21556406041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 21556406041 in words is "twenty-one billion, five hundred fifty-six million, four hundred six thousand, forty-one".

Divisors: 1 41 1681 3581 146821 6019661 12823561 525766001 21556406041