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349197922845 = 32517456467873
BaseRepresentation
bin1010001010011011101…
…00010111001000011101
31020101100012111110100200
411011031310113020131
521210124132012340
6424230323214113
734141310240622
oct5051564271035
91211305443320
10349197922845
1112510413a972
1257815817339
1326c1066c165
1412c89126349
15913b91b330
hex514dd1721d

349197922845 has 24 divisors (see below), whose sum is σ = 640880895096. Its totient is φ = 175283662848.

The previous prime is 349197922831. The next prime is 349197922867. The reversal of 349197922845 is 548229791943.

349197922845 is a `hidden beast` number, since 349 + 1 + 9 + 7 + 9 + 2 + 284 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10913771961 + 338284150884 = 104469^2 + 581622^2 .

It is not a de Polignac number, because 349197922845 - 26 = 349197922781 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228233172 + ... + 228234701.

It is an arithmetic number, because the mean of its divisors is an integer number (26703370629).

Almost surely, 2349197922845 is an apocalyptic number.

It is an amenable number.

349197922845 is a deficient number, since it is larger than the sum of its proper divisors (291682972251).

349197922845 is a wasteful number, since it uses less digits than its factorization.

349197922845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456467901 (or 456467898 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 349197922845 in words is "three hundred forty-nine billion, one hundred ninety-seven million, nine hundred twenty-two thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 456467873 1369403619 2282339365 4108210857 6847018095 7759953841 20541054285 23279861523 38799769205 69839584569 116399307615 349197922845