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21226541164361 = 1313611506179657
BaseRepresentation
bin1001101001110001100000…
…11100100010011101001001
32210011020102011001110111122
410310320300130202131021
510240233424014224421
6113051201032005025
74320365322631601
oct464706034423511
983136364043448
1021226541164361
116844142126805
122469a19830775
13bac8674aaa10
145355276a9c01
1526c23ebc02ab
hex134e30722749

21226541164361 has 16 divisors (see below), whose sum is σ = 22877954122128. Its totient is φ = 19577787955200.

The previous prime is 21226541164333. The next prime is 21226541164363. The reversal of 21226541164361 is 16346114562212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 48312040000 + 21178229124361 = 219800^2 + 4601981^2 .

It is a cyclic number.

It is not a de Polignac number, because 21226541164361 - 222 = 21226536970057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21226541164363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266434445 + ... + 266514101.

It is an arithmetic number, because the mean of its divisors is an integer number (1429872132633).

Almost surely, 221226541164361 is an apocalyptic number.

It is an amenable number.

21226541164361 is a deficient number, since it is larger than the sum of its proper divisors (1651412957767).

21226541164361 is a wasteful number, since it uses less digits than its factorization.

21226541164361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96092.

The product of its digits is 414720, while the sum is 44.

The spelling of 21226541164361 in words is "twenty-one trillion, two hundred twenty-six billion, five hundred forty-one million, one hundred sixty-four thousand, three hundred sixty-one".

Divisors: 1 13 1361 15061 17693 79657 195793 1035541 20498021 108413177 266474273 1199714077 1409371301 15596283001 1632810858797 21226541164361