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349441287680593 = 381139168558961
BaseRepresentation
bin100111101110100001010001…
…1110100100111001001010001
31200211021021001011022021201001
41033131002203310213021101
5331300221224121234333
63235111040021342001
7133414204602644623
oct11735024364471121
91624237034267631
10349441287680593
11a1385243a86599
1233238090267901
1311cca230c63614
14624109739cc13
152a5eb831e2b7d
hex13dd0a3d27251

349441287680593 has 4 divisors (see below), whose sum is σ = 349450456277668. Its totient is φ = 349432119083520.

The previous prime is 349441287680557. The next prime is 349441287680599. The reversal of 349441287680593 is 395086782144943.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 107047744646544 + 242393543034049 = 10346388^2 + 15568993^2 .

It is a cyclic number.

It is not a de Polignac number, because 349441287680593 - 29 = 349441287680081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349441287680599) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4584241368 + ... + 4584317593.

It is an arithmetic number, because the mean of its divisors is an integer number (87362614069417).

It is a 1-persistent number, because it is pandigital, but 2⋅349441287680593 = 698882575361186 is not.

Almost surely, 2349441287680593 is an apocalyptic number.

It is an amenable number.

349441287680593 is a deficient number, since it is larger than the sum of its proper divisors (9168597075).

349441287680593 is an equidigital number, since it uses as much as digits as its factorization.

349441287680593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168597074.

The product of its (nonzero) digits is 1254113280, while the sum is 73.

The spelling of 349441287680593 in words is "three hundred forty-nine trillion, four hundred forty-one billion, two hundred eighty-seven million, six hundred eighty thousand, five hundred ninety-three".

Divisors: 1 38113 9168558961 349441287680593