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34947466474943 = 112288822036983
BaseRepresentation
bin1111111001000110101110…
…10100110011010110111111
311120201221112000201022021002
413330203113110303112333
514040034402404144233
6202154351112000515
710234604540510231
oct774432724632677
9146657460638232
1034947466474943
1110154156823700
123b0507799013b
1316666bb8c6a39
1488b675b46251
154090e55066e8
hex1fc8d75335bf

34947466474943 has 6 divisors (see below), whose sum is σ = 38413330918872. Its totient is φ = 31770424068020.

The previous prime is 34947466474937. The next prime is 34947466474979.

It is a happy number.

34947466474943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34947466474943 - 216 = 34947466409407 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 (34947466474643) 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 5 ways as a sum of consecutive naturals, for example, 144411018371 + ... + 144411018612.

It is an arithmetic number, because the mean of its divisors is an integer number (6402221819812).

Almost surely, 234947466474943 is an apocalyptic number.

34947466474943 is a deficient number, since it is larger than the sum of its proper divisors (3465864443929).

34947466474943 is a wasteful number, since it uses less digits than its factorization.

34947466474943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288822037005 (or 288822036994 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 74.

The spelling of 34947466474943 in words is "thirty-four trillion, nine hundred forty-seven billion, four hundred sixty-six million, four hundred seventy-four thousand, nine hundred forty-three".

Divisors: 1 11 121 288822036983 3177042406813 34947466474943