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348117758168445 = 345859550020169
BaseRepresentation
bin100111100100111000111101…
…1010100001100110101111101
31200122120201210010000202210000
41033021301323110030311331
5331112030132042342240
63232215031302504513
7133216451366502366
oct11711617324146575
91618521703022700
10348117758168445
11a0a14a040906a1
1233063678a35139
1311c32496191035
1461d6dbcc8ab6d
152a3a51d765430
hex13c9c7b50cd7d

348117758168445 has 20 divisors (see below), whose sum is σ = 624033314643420. Its totient is φ = 185662804356288.

The previous prime is 348117758168423. The next prime is 348117758168519. The reversal of 348117758168445 is 544861857711843.

348117758168445 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 1 + 77 + 58 + 1 + 68 + 445 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64075206080601 + 284042552087844 = 8004699^2 + 16853562^2 .

It is not a de Polignac number, because 348117758168445 - 27 = 348117758168317 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 429775009680 + ... + 429775010489.

It is an arithmetic number, because the mean of its divisors is an integer number (31201665732171).

Almost surely, 2348117758168445 is an apocalyptic number.

It is an amenable number.

348117758168445 is a deficient number, since it is larger than the sum of its proper divisors (275915556474975).

348117758168445 is an equidigital number, since it uses as much as digits as its factorization.

348117758168445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859550020186 (or 859550020177 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 72.

The spelling of 348117758168445 in words is "three hundred forty-eight trillion, one hundred seventeen billion, seven hundred fifty-eight million, one hundred sixty-eight thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 859550020169 2578650060507 4297750100845 7735950181521 12893250302535 23207850544563 38679750907605 69623551633689 116039252722815 348117758168445