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181949008049 is a prime number
BaseRepresentation
bin1010100101110100000…
…0011000100010110001
3122101122100011021122222
42221131000120202301
510440112421224144
6215330342410425
716100603023214
oct2513500304261
9571570137588
10181949008049
1170189520836
122b31a430a15
1314208676b53
148b409bd77b
154aed8972ee
hex2a5d0188b1

181949008049 has 2 divisors, whose sum is σ = 181949008050. Its totient is φ = 181949008048.

The previous prime is 181949007979. The next prime is 181949008067. The reversal of 181949008049 is 940800949181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150276399025 + 31672609024 = 387655^2 + 177968^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181949008049 is a prime.

It is not a weakly prime, because it can be changed into another prime (181949028049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90974504024 + 90974504025.

It is an arithmetic number, because the mean of its divisors is an integer number (90974504025).

Almost surely, 2181949008049 is an apocalyptic number.

It is an amenable number.

181949008049 is a deficient number, since it is larger than the sum of its proper divisors (1).

181949008049 is an equidigital number, since it uses as much as digits as its factorization.

181949008049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 53.

The spelling of 181949008049 in words is "one hundred eighty-one billion, nine hundred forty-nine million, eight thousand, forty-nine".