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930518815039 = 112931233431937
BaseRepresentation
bin11011000101001110011…
…11100101000100111111
310021221211110022112001021
431202213033211010333
5110221200304040124
61551250251325011
7124141060265452
oct15424717450477
93257743275037
10930518815039
113296a3681290
12130410a50767
1369994493248
14330746c3499
15193119887e4
hexd8a73e513f

930518815039 has 64 divisors (see below), whose sum is σ = 1092332666880. Its totient is φ = 784353024000.

The previous prime is 930518815033. The next prime is 930518815091.

930518815039 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 930518815039 - 25 = 930518815007 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930518815033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 993082579 + ... + 993083515.

It is an arithmetic number, because the mean of its divisors is an integer number (17067697920).

Almost surely, 2930518815039 is an apocalyptic number.

930518815039 is a deficient number, since it is larger than the sum of its proper divisors (161813851841).

930518815039 is a wasteful number, since it uses less digits than its factorization.

930518815039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 1166400, while the sum is 52.

The spelling of 930518815039 in words is "nine hundred thirty billion, five hundred eighteen million, eight hundred fifteen thousand, thirty-nine".

Divisors: 1 11 29 31 233 319 341 431 899 937 2563 4741 6757 7223 9889 10307 12499 13361 27173 29047 74327 79453 100423 137489 146971 209467 218321 298903 319517 387469 403847 842363 1104653 2304137 2401531 2912267 3113113 4262159 4442317 6331309 6767951 9265993 11711563 12519257 32034937 34244243 69644399 74447461 90280277 94096351 128827193 137711827 196270579 363058453 993083047 1035059861 2158976369 2728794179 2916986881 3993642983 30016735969 32086855691 84592619549 930518815039