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348773074013 = 721331151111689
BaseRepresentation
bin1010001001101000111…
…11101100010001011101
31020100020121001220022202
411010310133230101131
521203241401332023
6424120225221245
734124631133400
oct5046437542135
91210217056282
10348773074013
11124a06342731
1257717491825
1326b7363a410
1412c48933d37
15911449a128
hex51347ec45d

348773074013 has 48 divisors (see below), whose sum is σ = 451355950080. Its totient is φ = 266851065600.

The previous prime is 348773073991. The next prime is 348773074021. The reversal of 348773074013 is 310470377843.

It is not a de Polignac number, because 348773074013 - 26 = 348773073949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348773074073) 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, 29831873 + ... + 29843561.

It is an arithmetic number, because the mean of its divisors is an integer number (9403248960).

Almost surely, 2348773074013 is an apocalyptic number.

It is an amenable number.

348773074013 is a deficient number, since it is larger than the sum of its proper divisors (102582876067).

348773074013 is a wasteful number, since it uses less digits than its factorization.

348773074013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13258 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 348773074013 in words is "three hundred forty-eight billion, seven hundred seventy-three million, seventy-four thousand, thirteen".

Divisors: 1 7 13 31 49 91 217 403 637 1511 1519 2821 10577 11689 19643 19747 46841 74039 81823 137501 151957 327887 362359 572761 608933 962507 1063699 2295209 2536513 4262531 4710667 7445893 17662079 17755591 29837717 32974669 123634553 229607027 230822683 547524449 865441871 1607249189 3832671143 7117817837 11250744323 26828698001 49824724859 348773074013