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34769422496743 = 116781158171349
BaseRepresentation
bin1111110011111011000110…
…00100111011001111100111
311120002220221211120002111021
413321331203010323033213
514024130234124343433
6201540504023352011
710216002462614464
oct771754304731747
9146086854502437
1034769422496743
11100956a1620670
123a966692b2607
13165298629c34c
14882bc5a3866b
154046748c522d
hex1f9f6313b3e7

34769422496743 has 16 divisors (see below), whose sum is σ = 38543871139200. Its totient is φ = 31098402640800.

The previous prime is 34769422496741. The next prime is 34769422496771.

34769422496743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34769422496743 - 21 = 34769422496741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34769422496741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28487968 + ... + 29683381.

It is an arithmetic number, because the mean of its divisors is an integer number (2408991946200).

Almost surely, 234769422496743 is an apocalyptic number.

34769422496743 is a deficient number, since it is larger than the sum of its proper divisors (3774448642457).

34769422496743 is a wasteful number, since it uses less digits than its factorization.

34769422496743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58172238.

The product of its digits is 1316818944, while the sum is 70.

The spelling of 34769422496743 in words is "thirty-four trillion, seven hundred sixty-nine billion, four hundred twenty-two million, four hundred ninety-six thousand, seven hundred forty-three".

Divisors: 1 11 67 737 811 8921 54337 597707 58171349 639884839 3897480383 42872284213 47176964039 518946604429 3160856590613 34769422496743