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348064835677 = 13292373132749
BaseRepresentation
bin1010001000010100100…
…01111110100001011101
31020021102020101122222021
411010022101332201131
521200314044220202
6423522045220141
734101241200526
oct5041221764135
91207366348867
10348064835677
11124682586799
125755a261651
1326a8c9a5290
1412bbc85384d
1590c21eba37
hex510a47e85d

348064835677 has 48 divisors (see below), whose sum is σ = 400121722000. Its totient is φ = 300753782784.

The previous prime is 348064835653. The next prime is 348064835689. The reversal of 348064835677 is 776538460843.

It can be written as a sum of positive squares in 24 ways, for example, as 322789877316 + 25274958361 = 568146^2 + 158981^2 .

It is not a de Polignac number, because 348064835677 - 219 = 348064311389 is a prime.

It is a super-2 number, since 2×3480648356772 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348064835477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126613699 + ... + 126616447.

Almost surely, 2348064835677 is an apocalyptic number.

348064835677 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

348064835677 is a deficient number, since it is larger than the sum of its proper divisors (52056886323).

348064835677 is a wasteful number, since it uses less digits than its factorization.

348064835677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 348064835677 in words is "three hundred forty-eight billion, sixty-four million, eight hundred thirty-five thousand, six hundred seventy-seven".

Divisors: 1 13 29 37 313 377 481 841 1073 2749 4069 9077 10933 11581 13949 31117 35737 79721 101713 118001 150553 263233 335849 404521 860437 1036373 1322269 2311909 2949677 3422029 4366037 9739621 11185681 24952673 30054817 31836169 38345801 85540633 126615073 324384749 413870197 723627517 923248901 1112028229 9407157721 12002235713 26774218129 348064835677