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22904587649381 is a prime number
BaseRepresentation
bin1010011010100111000111…
…10011111000000101100101
310000002122202002120011201012
411031103203303320011211
511000232043414240011
6120414120003512005
74552542014463404
oct515234363700545
9100078662504635
1022904587649381
117330865674589
12269b090088605
13ca1b7c8b8a29
145928334d763b
1529ac02ee3a8b
hex14d4e3cf8165

22904587649381 has 2 divisors, whose sum is σ = 22904587649382. Its totient is φ = 22904587649380.

The previous prime is 22904587649329. The next prime is 22904587649387. The reversal of 22904587649381 is 18394678540922.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22903249918756 + 1337730625 = 4785734^2 + 36575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22904587649381 is a prime.

It is a super-2 number, since 2×229045876493812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22904587649387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11452293824690 + 11452293824691.

It is an arithmetic number, because the mean of its divisors is an integer number (11452293824691).

It is a 1-persistent number, because it is pandigital, but 2⋅22904587649381 = 45809175298762 is not.

Almost surely, 222904587649381 is an apocalyptic number.

It is an amenable number.

22904587649381 is a deficient number, since it is larger than the sum of its proper divisors (1).

22904587649381 is an equidigital number, since it uses as much as digits as its factorization.

22904587649381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209018880, while the sum is 68.

The spelling of 22904587649381 in words is "twenty-two trillion, nine hundred four billion, five hundred eighty-seven million, six hundred forty-nine thousand, three hundred eighty-one".