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22617134641 is a prime number
BaseRepresentation
bin10101000100000101…
…100001011000110001
32011101020010111001101
4111010011201120301
5332304441302031
614220135404401
71430321321023
oct250405413061
964336114041
1022617134641
119656868012
124472523701
132195969a0a
141147b08013
158c58d3361
hex544161631

22617134641 has 2 divisors, whose sum is σ = 22617134642. Its totient is φ = 22617134640.

The previous prime is 22617134599. The next prime is 22617134653. The reversal of 22617134641 is 14643171622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14964384241 + 7652750400 = 122329^2 + 87480^2 .

It is a cyclic number.

It is not a de Polignac number, because 22617134641 - 27 = 22617134513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22617134641.

It is not a weakly prime, because it can be changed into another prime (22617134941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11308567320 + 11308567321.

It is an arithmetic number, because the mean of its divisors is an integer number (11308567321).

Almost surely, 222617134641 is an apocalyptic number.

It is an amenable number.

22617134641 is a deficient number, since it is larger than the sum of its proper divisors (1).

22617134641 is an equidigital number, since it uses as much as digits as its factorization.

22617134641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The spelling of 22617134641 in words is "twenty-two billion, six hundred seventeen million, one hundred thirty-four thousand, six hundred forty-one".