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21224545516561 = 232731438938197
BaseRepresentation
bin1001101001101101110010…
…11111101111110000010001
32210011001021001220001101011
410310312321133233300101
510240220332123012221
6113050231022210521
74320265011124462
oct464667137576021
983131231801334
1021224545516561
116843308692002
122469561423a41
13bac609bc862a
145353b8624d69
1526c1748bc1e1
hex134db97efc11

21224545516561 has 24 divisors (see below), whose sum is σ = 22493563820840. Its totient is φ = 20021717396736.

The previous prime is 21224545516457. The next prime is 21224545516567. The reversal of 21224545516561 is 16561554542212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1146439176961 + 20078106339600 = 1070719^2 + 4480860^2 .

It is not a de Polignac number, because 21224545516561 - 29 = 21224545516049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21224545516567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555640915 + ... + 555679111.

Almost surely, 221224545516561 is an apocalyptic number.

It is an amenable number.

21224545516561 is a deficient number, since it is larger than the sum of its proper divisors (1269018304279).

21224545516561 is a wasteful number, since it uses less digits than its factorization.

21224545516561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52705 (or 52682 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 49.

The spelling of 21224545516561 in words is "twenty-one trillion, two hundred twenty-four billion, five hundred forty-five million, five hundred sixteen thousand, five hundred sixty-one".

Divisors: 1 23 73 529 1679 14389 38197 38617 330947 878531 1050397 2788381 7611781 20206213 24159131 64132763 549616633 555660013 1475053549 12641182559 40122014209 290747198857 922806326807 21224545516561