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34947674943 = 3311991888349
BaseRepresentation
bin100000100011000010…
…110011001100111111
310100012120012211110020
4200203002303030333
51033033101044233
624015453543223
72345015223066
oct404302631477
9110176184406
1034947674943
1113904062495
126933aa4b13
1333ac4331cc
1419975a91dd
15d981969b3
hex8230b333f

34947674943 has 16 divisors (see below), whose sum is σ = 48341760000. Its totient is φ = 22433574240.

The previous prime is 34947674917. The next prime is 34947674953.

34947674943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34947674943 - 217 = 34947543871 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34947674953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925668 + ... + 962681.

It is an arithmetic number, because the mean of its divisors is an integer number (3021360000).

Almost surely, 234947674943 is an apocalyptic number.

34947674943 is a deficient number, since it is larger than the sum of its proper divisors (13394085057).

34947674943 is a wasteful number, since it uses less digits than its factorization.

34947674943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888582.

The product of its digits is 54867456, while the sum is 60.

The spelling of 34947674943 in words is "thirty-four billion, nine hundred forty-seven million, six hundred seventy-four thousand, nine hundred forty-three".

Divisors: 1 3 31 93 199 597 6169 18507 1888349 5665047 58538819 175616457 375781451 1127344353 11649224981 34947674943