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348305405506058 = 271121315816247639
BaseRepresentation
bin100111100110010000010101…
…1111101111111001000001010
31200200020200010120121012002002
41033030200223331333020022
5331123113432302143213
63232441143324311002
7133236143434526420
oct11714405375771012
91620220116535062
10348305405506058
11a0a87547117800
1233093b076a2462
1311c4709c26c710
14620210058d110
152a40352506658
hex13cc82bf7f20a

348305405506058 has 48 divisors (see below), whose sum is σ = 706796474536320. Its totient is φ = 125264681292960.

The previous prime is 348305405506057. The next prime is 348305405506111. The reversal of 348305405506058 is 850605504503843.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 348305405505994 and 348305405506012.

It is not an unprimeable number, because it can be changed into a prime (348305405506057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7908101798 + ... + 7908145841.

It is an arithmetic number, because the mean of its divisors is an integer number (14724926552840).

Almost surely, 2348305405506058 is an apocalyptic number.

348305405506058 is an abundant number, since it is smaller than the sum of its proper divisors (358491069030262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348305405506058 is a wasteful number, since it uses less digits than its factorization.

348305405506058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15816247683 (or 15816247672 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 56.

The spelling of 348305405506058 in words is "three hundred forty-eight trillion, three hundred five billion, four hundred five million, five hundred six thousand, fifty-eight".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 15816247639 31632495278 110713733473 173978724029 205611219307 221427466946 347957448058 411222438614 1217851068203 1439278535149 1913765964319 2261723412377 2435702136406 2878557070298 3827531928638 4523446824754 13396361750233 15832063886639 24878957536147 26792723500466 31664127773278 49757915072294 174152702753029 348305405506058