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834394707493438 = 271326191127350539
BaseRepresentation
bin1011110110111000001010100…
…0001001001000001000111110
311001102100100120210200212120011
42331232002220021020020332
51333331210330104242223
612114335345322413434
7340516012456524130
oct27556025011101076
94042310523625504
10834394707493438
11221955898833843
12796bb34b36127a
1329a77111009b00
1410a08cc289b050
15666e7c3e5480d
hex2f6e0a824823e

834394707493438 has 96 divisors (see below), whose sum is σ = 1551555406598400. Its totient is φ = 329521195830528.

The previous prime is 834394707493427. The next prime is 834394707493513.

834394707493438 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16509891973 + ... + 16509942511.

It is an arithmetic number, because the mean of its divisors is an integer number (16162035485400).

Almost surely, 2834394707493438 is an apocalyptic number.

834394707493438 is a deficient number, since it is larger than the sum of its proper divisors (717160699104962).

834394707493438 is a wasteful number, since it uses less digits than its factorization.

834394707493438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62466 (or 62453 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 76.

The spelling of 834394707493438 in words is "eight hundred thirty-four trillion, three hundred ninety-four billion, seven hundred seven million, four hundred ninety-three thousand, four hundred thirty-eight".

Divisors: 1 2 7 13 14 26 91 169 182 338 619 1183 1238 2366 4333 8047 8666 11273 16094 22546 50539 56329 78911 101078 104611 112658 146549 157822 209222 293098 353773 657007 707546 732277 1025843 1314014 1464554 1905137 2051686 3810274 4599049 6977987 8541091 9198098 13335959 13955974 17082182 26671918 31283641 48845909 59787637 62567282 90713831 97691818 119575274 181427662 218985487 406687333 437970974 569726147 634996817 813374666 1139452294 1179279803 1269993634 2358559606 2846811331 3988083029 5286935329 5693622662 7406439911 7976166058 8254958621 10573870658 14812879822 16509917242 37008547303 51845079377 74017094606 96283718843 103690158754 192567437686 352660484993 673986031901 705320969986 1347972063802 2468623394951 4584586304909 4937246789902 9169172609818 32092104134363 59599621963817 64184208268726 119199243927634 417197353746719 834394707493438