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2135662106305 = 57313422922651
BaseRepresentation
bin11111000100111111011…
…000011001011011000001
321120011111222000220020211
4133010333120121123001
5234442313444400210
64313035402434121
7310203461245000
oct37047730313301
97504458026224
102135662106305
11753802645212
122a5aa4b02941
131265134c9c60
147551bd2cc37
153a847e8238a
hex1f13f6196c1

2135662106305 has 64 divisors (see below), whose sum is σ = 3219483456000. Its totient is φ = 1351424390400.

The previous prime is 2135662106287. The next prime is 2135662106317. The reversal of 2135662106305 is 5036012665312.

It is a de Polignac number, because none of the positive numbers 2k-2135662106305 is a prime.

It is a super-2 number, since 2×21356621063052 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94274230 + ... + 94296880.

It is an arithmetic number, because the mean of its divisors is an integer number (50304429000).

Almost surely, 22135662106305 is an apocalyptic number.

It is an amenable number.

2135662106305 is a deficient number, since it is larger than the sum of its proper divisors (1083821349695).

2135662106305 is a wasteful number, since it uses less digits than its factorization.

2135662106305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26919 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 2135662106305 in words is "two trillion, one hundred thirty-five billion, six hundred sixty-two million, one hundred six thousand, three hundred five".

Divisors: 1 5 7 13 35 49 65 91 245 343 455 637 1715 3185 4229 4459 21145 22295 22651 29603 54977 113255 148015 158557 207221 274885 294463 384839 792785 1036105 1109899 1450547 1472315 1924195 2061241 2693873 5549495 7252735 7769293 10306205 13469365 14428687 18857111 38846465 72143435 94285555 95791079 101000809 478955395 505004045 670537553 1245284027 3352687765 4693762871 6226420135 8716988189 23468814355 32856340097 43584940945 61018917323 164281700485 305094586615 427132421261 2135662106305