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4093468743 = 3713171316733
BaseRepresentation
bin1111001111111101…
…0110000001000111
3101120021120202110110
43303333112001013
531340411444433
61514105124103
7203303624130
oct36377260107
911507522413
104093468743
111810724721
12962a89633
135030b9470
142ab924c87
1518e589963
hexf3fd6047

4093468743 has 64 divisors (see below), whose sum is σ = 7167992832. Its totient is φ = 2016368640.

The previous prime is 4093468733. The next prime is 4093468787. The reversal of 4093468743 is 3478643904.

It is not a de Polignac number, because 4093468743 - 212 = 4093464647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4093468692 and 4093468701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4093468703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604605 + ... + 611337.

It is an arithmetic number, because the mean of its divisors is an integer number (111999888).

Almost surely, 24093468743 is an apocalyptic number.

4093468743 is a deficient number, since it is larger than the sum of its proper divisors (3074524089).

4093468743 is a wasteful number, since it uses less digits than its factorization.

4093468743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904.

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 4093468743 is about 63980.2214985225. The cubic root of 4093468743 is about 1599.6703413277.

The spelling of 4093468743 in words is "four billion, ninety-three million, four hundred sixty-eight thousand, seven hundred forty-three".

Divisors: 1 3 7 13 17 21 39 51 91 119 131 221 273 357 393 663 917 1547 1703 2227 2751 4641 5109 6681 6733 11921 15589 20199 28951 35763 46767 47131 86853 87529 114461 141393 202657 262587 343383 607971 612703 801227 882023 1487993 1838109 2403681 2646069 4463979 6174161 10415951 11466299 14994391 18522483 31247853 34398897 44983173 80264093 104960737 194927083 240792279 314882211 584781249 1364489581 4093468743