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BaseRepresentation
bin1100101001111011111…
…00001001010101100101
31112120101010000002121121
412110331330021111211
524111013200431312
6531431502413541
743262341305334
oct6247574112545
91476333002547
10434830873957
11158457768547
1270333b912b1
13320097c772c
1417090045d1b
15b49e6bc707
hex653df09565

434830873957 has 16 divisors (see below), whose sum is σ = 441864601200. Its totient is φ = 427855633920.

The previous prime is 434830873921. The next prime is 434830873969. The reversal of 434830873957 is 759378038434.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 120099681 + 434710774276 = 10959^2 + 659326^2 .

It is a cyclic number.

It is not a de Polignac number, because 434830873957 - 219 = 434830349669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434830873895 and 434830873904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434830873457) 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, 35400657 + ... + 35412937.

It is an arithmetic number, because the mean of its divisors is an integer number (27616537575).

Almost surely, 2434830873957 is an apocalyptic number.

It is an amenable number.

434830873957 is a deficient number, since it is larger than the sum of its proper divisors (7033727243).

434830873957 is a wasteful number, since it uses less digits than its factorization.

434830873957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14616.

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 434830873957 in words is "four hundred thirty-four billion, eight hundred thirty million, eight hundred seventy-three thousand, nine hundred fifty-seven".