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20956135401 = 34972667193
BaseRepresentation
bin10011100001000101…
…010011111111101001
32000002110122222110000
4103201011103333221
5320404232313101
613343242413213
71341212132445
oct234105237751
960073588400
1020956135401
118984212773
12408a201209
131c8c7c7226
14102b295825
15829b85486
hex4e1153fe9

20956135401 has 20 divisors (see below), whose sum is σ = 31627586452. Its totient is φ = 13826723328.

The previous prime is 20956135363. The next prime is 20956135451. The reversal of 20956135401 is 10453165902.

20956135401 is a `hidden beast` number, since 20 + 9 + 561 + 35 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9915379776 + 11040755625 = 99576^2 + 105075^2 .

It is not a de Polignac number, because 20956135401 - 27 = 20956135273 is a prime.

It is a super-2 number, since 2×209561354012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20956135451) 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 19 ways as a sum of consecutive naturals, for example, 1325740 + ... + 1341453.

Almost surely, 220956135401 is an apocalyptic number.

It is an amenable number.

20956135401 is a deficient number, since it is larger than the sum of its proper divisors (10671451051).

20956135401 is an equidigital number, since it uses as much as digits as its factorization.

20956135401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667302 (or 2667293 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 20956135401 in words is "twenty billion, nine hundred fifty-six million, one hundred thirty-five thousand, four hundred one".

Divisors: 1 3 9 27 81 97 291 873 2619 7857 2667193 8001579 24004737 72014211 216042633 258717721 776153163 2328459489 6985378467 20956135401