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345207546873 = 3372534923167
BaseRepresentation
bin1010000010111111111…
…10010010001111111001
31020000001002220100121000
411001133332102033321
521123441112444443
6422330335435213
733640364506500
oct5013776221771
91200032810530
10345207546873
1112344672a392
1256aa1385b09
1326725a3a147
14129cb199837
158ea64478d3
hex505ff923f9

345207546873 has 48 divisors (see below), whose sum is σ = 606140444160. Its totient is φ = 193539501792.

The previous prime is 345207546869. The next prime is 345207546899. The reversal of 345207546873 is 378645702543.

It is a happy number.

345207546873 is a `hidden beast` number, since 3 + 4 + 5 + 20 + 7 + 546 + 8 + 73 = 666.

It is not a de Polignac number, because 345207546873 - 22 = 345207546869 is a prime.

It is a super-3 number, since 3×3452075468733 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345207546773) 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 in 47 ways as a sum of consecutive naturals, for example, 2391465 + ... + 2531702.

It is an arithmetic number, because the mean of its divisors is an integer number (12627925920).

Almost surely, 2345207546873 is an apocalyptic number.

It is an amenable number.

345207546873 is a deficient number, since it is larger than the sum of its proper divisors (260932897287).

345207546873 is a wasteful number, since it uses less digits than its factorization.

345207546873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923243 (or 4923230 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 345207546873 in words is "three hundred forty-five billion, two hundred seven million, five hundred forty-six thousand, eight hundred seventy-three".

Divisors: 1 3 7 9 21 27 49 53 63 147 159 189 371 441 477 1113 1323 1431 2597 3339 7791 10017 23373 70119 4923167 14769501 34462169 44308503 103386507 132925509 241235183 260927851 310159521 723705549 782783553 930478563 1826494957 2171116647 2348350659 5479484871 6513349941 7045051977 12785464699 16438454613 38356394097 49315363839 115069182291 345207546873