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34546303993 = 173173897983
BaseRepresentation
bin100000001011000111…
…101100001111111001
310022011120222002000111
4200023013230033321
51031222323211433
623511555104321
72332042511305
oct401307541771
9108146862014
1034546303993
1113718540563
1268415a20a1
1333472318c6
14195a168d05
15d72d11dcd
hex80b1ec3f9

34546303993 has 16 divisors (see below), whose sum is σ = 38275670016. Its totient is φ = 31034257920.

The previous prime is 34546303963. The next prime is 34546303997. The reversal of 34546303993 is 39930364543.

It is a happy number.

34546303993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34546303993 - 213 = 34546295801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34546303997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410521 + ... + 487462.

It is an arithmetic number, because the mean of its divisors is an integer number (2392229376).

Almost surely, 234546303993 is an apocalyptic number.

It is an amenable number.

34546303993 is a deficient number, since it is larger than the sum of its proper divisors (3729366023).

34546303993 is a wasteful number, since it uses less digits than its factorization.

34546303993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898104.

The product of its (nonzero) digits is 3149280, while the sum is 49.

The spelling of 34546303993 in words is "thirty-four billion, five hundred forty-six million, three hundred three thousand, nine hundred ninety-three".

Divisors: 1 17 31 73 527 1241 2263 38471 897983 15265711 27837473 65552759 473237041 1114396903 2032135529 34546303993