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434506063487834 = 213253107283801001
BaseRepresentation
bin110001011001011100101001…
…1100100010010001101011010
32002222110101002122101101102002
41202302321103210102031122
5423422421404223102314
64140041155133041002
7160344012211114412
oct14262712344221532
92088411078341362
10434506063487834
111164a0a9431a988
1240896229626162
131585a990b9a900
1479422c4571642
153537776ebeade
hex18b2e5391235a

434506063487834 has 96 divisors (see below), whose sum is σ = 728352810316224. Its totient is φ = 194229607104000.

The previous prime is 434506063487831. The next prime is 434506063487857. The reversal of 434506063487834 is 438784360605434.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (434506063487831) 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 47 ways as a sum of consecutive naturals, for example, 542053334 + ... + 542854334.

It is an arithmetic number, because the mean of its divisors is an integer number (7587008440794).

Almost surely, 2434506063487834 is an apocalyptic number.

434506063487834 is a deficient number, since it is larger than the sum of its proper divisors (293846746828390).

434506063487834 is a wasteful number, since it uses less digits than its factorization.

434506063487834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801472 (or 801459 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 65.

The spelling of 434506063487834 in words is "four hundred thirty-four trillion, five hundred six billion, sixty-three million, four hundred eighty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 13 26 53 106 107 169 214 283 338 566 689 1378 1391 2782 3679 5671 7358 8957 11342 14999 17914 18083 29998 30281 36166 47827 60562 73723 95654 147446 194987 389974 393653 787306 801001 958399 1602002 1604893 1916798 2534831 3209786 5069662 5117489 10234978 10413013 20826026 20863609 41727218 42453053 84906106 85707107 135369169 171414214 226683283 270738338 271226917 453366566 542453834 551889689 1103779378 1114192391 2228384782 2946882679 4542476671 5893765358 7174565957 9084953342 12014213999 14349131914 14484501083 24028427998 24255111281 28969002166 38309474827 48510222562 59052196723 76618949654 118104393446 156184781987 312369563974 315316446653 630632893306 767678557399 1285520897893 1535357114798 2030402165831 2571041795786 4060804331662 4099113806489 8198227612978 16711771672609 33423543345218 217253031743917 434506063487834