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349355606553943 = 1183382645790311
BaseRepresentation
bin100111101101111001011000…
…0110101000011010101010111
31200210222001212220011002000221
41033123302300311003111113
5331242320240234211233
63235003430001415211
7133405052415251563
oct11733626065032527
91623861786132027
10349355606553943
11a1351976243a20
123322355993a507
1311cc2127b3b202
14623ac89cdc6a3
152a5c81b0c742d
hex13dbcb0d43557

349355606553943 has 8 divisors (see below), whose sum is σ = 385706956634496. Its totient is φ = 313769548054200.

The previous prime is 349355606553829. The next prime is 349355606553983.

349355606553943 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 349355606553943 - 241 = 347156583298391 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 (349355606553983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191322894243 + ... + 191322896068.

It is an arithmetic number, because the mean of its divisors is an integer number (48213369579312).

Almost surely, 2349355606553943 is an apocalyptic number.

349355606553943 is a deficient number, since it is larger than the sum of its proper divisors (36351350080553).

349355606553943 is a wasteful number, since it uses less digits than its factorization.

349355606553943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382645790405.

The product of its (nonzero) digits is 2361960000, while the sum is 70.

The spelling of 349355606553943 in words is "three hundred forty-nine trillion, three hundred fifty-five billion, six hundred six million, five hundred fifty-three thousand, nine hundred forty-three".

Divisors: 1 11 83 913 382645790311 4209103693421 31759600595813 349355606553943