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1282416671385 = 34510336918329
BaseRepresentation
bin10010101010010101111…
…111010111101010011001
311112121010211012210220000
4102222111333113222121
5132002342131441020
62421044543523213
7161436323564553
oct22522577275231
94477124183800
101282416671385
11454962862153
1218865a8b9509
1393c152c4795
14460d82224d3
152355a425090
hex12a95fd7a99

1282416671385 has 80 divisors (see below), whose sum is σ = 2322077197440. Its totient is φ = 677050410240.

The previous prime is 1282416671353. The next prime is 1282416671407. The reversal of 1282416671385 is 5831766142821.

It is a happy number.

1282416671385 is a `hidden beast` number, since 1 + 2 + 82 + 416 + 6 + 71 + 3 + 85 = 666.

It is not a de Polignac number, because 1282416671385 - 25 = 1282416671353 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153965901 + ... + 153974229.

It is an arithmetic number, because the mean of its divisors is an integer number (29025964968).

Almost surely, 21282416671385 is an apocalyptic number.

1282416671385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1282416671385 is a deficient number, since it is larger than the sum of its proper divisors (1039660526055).

1282416671385 is a wasteful number, since it uses less digits than its factorization.

1282416671385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12140 (or 12131 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1282416671385 in words is "one trillion, two hundred eighty-two billion, four hundred sixteen million, six hundred seventy-one thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 103 135 309 405 515 927 1545 2781 3691 4635 8329 8343 11073 13905 18455 24987 33219 41645 41715 55365 74961 99657 124935 166095 224883 298971 374805 380173 498285 674649 857887 1124415 1140519 1494855 1900865 2573661 3373245 3421557 4289435 5702595 7720983 10264671 12868305 17107785 23162949 30742339 30794013 38604915 51323355 69488847 92227017 115814745 153711695 153970065 276681051 347444235 461135085 830043153 1383405255 2490129459 3166460917 4150215765 9499382751 12450647295 15832304585 28498148253 47496913755 85494444759 142490741265 256483334277 427472223795 1282416671385