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348317153857 = 11323993128473
BaseRepresentation
bin1010001000110010101…
…00011111101001000001
31020022001211011202110001
411010121110133221001
521201323142410412
6424003101240001
734110423646201
oct5043124375101
91208054152401
10348317153857
111247a1a53112
125760a863001
1326b00049b8a
1412c04174401
1590d943c957
hex511951fa41

348317153857 has 8 divisors (see below), whose sum is σ = 351416987784. Its totient is φ = 345217625088.

The previous prime is 348317153843. The next prime is 348317153879. The reversal of 348317153857 is 758351713843.

It is a Cunningham number, because it is equal to 5901842+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 348317153856 = 1^2 + 590184^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-348317153857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 348317153798 and 348317153807.

It is not an unprimeable number, because it can be changed into a prime (348317153887) 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, 2646973 + ... + 2775445.

It is an arithmetic number, because the mean of its divisors is an integer number (43927123473).

Almost surely, 2348317153857 is an apocalyptic number.

It is an amenable number.

348317153857 is a deficient number, since it is larger than the sum of its proper divisors (3099833927).

348317153857 is a wasteful number, since it uses less digits than its factorization.

348317153857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152579.

The product of its digits is 8467200, while the sum is 55.

The spelling of 348317153857 in words is "three hundred forty-eight billion, three hundred seventeen million, one hundred fifty-three thousand, eight hundred fifty-seven".

Divisors: 1 113 23993 128473 2711209 14517449 3082452689 348317153857