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349638836943 = 31110595116271
BaseRepresentation
bin1010001011010000001…
…10010100001011001111
31020102110221011012210110
411011220012110023033
521212030020240233
6424342153411103
734155243035514
oct5055006241317
91212427135713
10349638836943
11125310010190
1257919409a93
1326c80b07386
1412ccb8db30b
1591654b2663
hex51681942cf

349638836943 has 8 divisors (see below), whose sum is σ = 508565581056. Its totient is φ = 211902325400.

The previous prime is 349638836891. The next prime is 349638836947.

349638836943 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 349638836943 - 212 = 349638832847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349638836947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5297558103 + ... + 5297558168.

It is an arithmetic number, because the mean of its divisors is an integer number (63570697632).

Almost surely, 2349638836943 is an apocalyptic number.

349638836943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

349638836943 is a deficient number, since it is larger than the sum of its proper divisors (158926744113).

349638836943 is a wasteful number, since it uses less digits than its factorization.

349638836943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10595116285.

The product of its digits is 241864704, while the sum is 66.

The spelling of 349638836943 in words is "three hundred forty-nine billion, six hundred thirty-eight million, eight hundred thirty-six thousand, nine hundred forty-three".

Divisors: 1 3 11 33 10595116271 31785348813 116546278981 349638836943