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434417807807 = 4755716999767
BaseRepresentation
bin1100101001001010101…
…00011011000110111111
31112112022022202011101022
412110211110123012333
524104141424322212
6531322505134355
743246164304004
oct6244524330677
91475268664338
10434417807807
11158265588865
127023978a3bb
1331c7205caa9
141705123d8ab
15b4782c7772
hex652551b1bf

434417807807 has 16 divisors (see below), whose sum is σ = 444764390400. Its totient is φ = 424118316768.

The previous prime is 434417807669. The next prime is 434417807851. The reversal of 434417807807 is 708708714434.

It is a cyclic number.

It is not a de Polignac number, because 434417807807 - 218 = 434417545663 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 (434417807207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44473238 + ... + 44483004.

It is an arithmetic number, because the mean of its divisors is an integer number (27797774400).

Almost surely, 2434417807807 is an apocalyptic number.

434417807807 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

434417807807 is a deficient number, since it is larger than the sum of its proper divisors (10346582593).

434417807807 is a wasteful number, since it uses less digits than its factorization.

434417807807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070.

The product of its (nonzero) digits is 4214784, while the sum is 53.

The spelling of 434417807807 in words is "four hundred thirty-four billion, four hundred seventeen million, eight hundred seven thousand, eight hundred seven".

Divisors: 1 47 557 1699 9767 26179 79853 459049 946343 5440219 16594133 44478121 255690293 779924251 9242932081 434417807807