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34675044057643 = 11171031800272263
BaseRepresentation
bin1111110001001011010011…
…01011110000001000101011
311112202220100102212122001211
413320211221223300020223
514021103442234321033
6201425254554053551
710206121626252403
oct770455153601053
9145686312778054
1034675044057643
1110059670437470
123a8030a11a2b7
131646ac5325b02
1487c3d1435803
15401e9de6d2cd
hex1f8969af022b

34675044057643 has 16 divisors (see below), whose sum is σ = 40441316138496. Its totient is φ = 29380443315840.

The previous prime is 34675044057611. The next prime is 34675044057653.

It is a happy number.

34675044057643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34675044057643 - 25 = 34675044057611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34675044057653) 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 15 ways as a sum of consecutive naturals, for example, 900116871 + ... + 900155392.

It is an arithmetic number, because the mean of its divisors is an integer number (2527582258656).

Almost surely, 234675044057643 is an apocalyptic number.

34675044057643 is a deficient number, since it is larger than the sum of its proper divisors (5766272080853).

34675044057643 is a wasteful number, since it uses less digits than its factorization.

34675044057643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800272394.

The product of its (nonzero) digits is 101606400, while the sum is 58.

The spelling of 34675044057643 in words is "thirty-four trillion, six hundred seventy-five billion, forty-four million, fifty-seven thousand, six hundred forty-three".

Divisors: 1 11 17 103 187 1133 1751 19261 1800272263 19802994893 30604628471 185428043089 336650913181 2039708473979 3152276732513 34675044057643