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20221716887172 = 2232561714357977
BaseRepresentation
bin1001001100100001111000…
…10000000111011010000100
32122121011210012220100211200
410212100330100013122010
510122303034010342142
6111001421204302500
74154653665330513
oct446207420073204
978534705810750
1020221716887172
116496a89004a79
1223271300a1a30
13b38b908ba6b8
144dca4466467a
1525102eb6364c
hex12643c407684

20221716887172 has 18 divisors (see below), whose sum is σ = 51116006575998. Its totient is φ = 6740572295712.

The previous prime is 20221716887149. The next prime is 20221716887179. The reversal of 20221716887172 is 27178861712202.

20221716887172 is a `hidden beast` number, since 20 + 2 + 217 + 168 + 87 + 172 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19516479720516 + 705237166656 = 4417746^2 + 839784^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (20221716887179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280857178953 + ... + 280857179024.

It is an arithmetic number, because the mean of its divisors is an integer number (2839778143111).

Almost surely, 220221716887172 is an apocalyptic number.

It is an amenable number.

20221716887172 is an abundant number, since it is smaller than the sum of its proper divisors (30894289688826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221716887172 is a wasteful number, since it uses less digits than its factorization.

20221716887172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561714357987 (or 561714357982 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 20221716887172 in words is "twenty trillion, two hundred twenty-one billion, seven hundred sixteen million, eight hundred eighty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 561714357977 1123428715954 1685143073931 2246857431908 3370286147862 5055429221793 6740572295724 10110858443586 20221716887172