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513106063435 = 5734119313779
BaseRepresentation
bin1110111011101111000…
…00010011000001001011
31211001102020120201101101
413131313200103001023
531401320123012220
61031415003402231
752033150402000
oct7356740230113
91731366521341
10513106063435
11188674aa5989
128353a223377
13395024a70b4
141ab97abb8a7
15d53153630a
hex777781304b

513106063435 has 64 divisors (see below), whose sum is σ = 736138368000. Its totient is φ = 342994041600.

The previous prime is 513106063433. The next prime is 513106063441. The reversal of 513106063435 is 534360601315.

It is a happy number.

It is not a de Polignac number, because 513106063435 - 21 = 513106063433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513106063394 and 513106063403.

It is not an unprimeable number, because it can be changed into a prime (513106063433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135776376 + ... + 135780154.

It is an arithmetic number, because the mean of its divisors is an integer number (11502162000).

Almost surely, 2513106063435 is an apocalyptic number.

513106063435 is a deficient number, since it is larger than the sum of its proper divisors (223032304565).

513106063435 is a wasteful number, since it uses less digits than its factorization.

513106063435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 513106063435 in words is "five hundred thirteen billion, one hundred six million, sixty-three thousand, four hundred thirty-five".

Divisors: 1 5 7 35 41 49 205 245 287 343 1435 1715 1931 2009 3779 9655 10045 13517 14063 18895 26453 67585 70315 79171 94619 132265 154939 185171 395855 473095 554197 662333 774695 925855 1084573 1296197 2770985 3311665 3879379 5422865 6480985 7297249 7592011 19396895 27155653 36486245 37960055 51080743 53144077 135778265 255403715 265720385 299187209 357565201 1495936045 1787826005 2094310463 2502956407 10471552315 12514782035 14660173241 73300866205 102621212687 513106063435