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1053686311614 = 2321737349266663
BaseRepresentation
bin11110101010101001001…
…10010010101010111110
310201201202012200121222200
433111110212102222332
5114230422143432424
62124020134252330
7136061220604656
oct17252446225276
93651665617880
101053686311614
113769584a9472
121502654b70a6
1378492978831
1438dda593366
151c61ea6b8c9
hexf554992abe

1053686311614 has 96 divisors (see below), whose sum is σ = 2489735102400. Its totient is φ = 320711187456.

The previous prime is 1053686311603. The next prime is 1053686311633. The reversal of 1053686311614 is 4161136863501.

1053686311614 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 8 + 631 + 1 + 6 + 1 + 4 = 666.

It is a super-2 number, since 2×10536863116142 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053686311614.

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, 3818047 + ... + 4084709.

It is an arithmetic number, because the mean of its divisors is an integer number (25934740650).

Almost surely, 21053686311614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053686311614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244867551200).

1053686311614 is an abundant number, since it is smaller than the sum of its proper divisors (1436048790786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053686311614 is a wasteful number, since it uses less digits than its factorization.

1053686311614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267074 (or 267071 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1053686311614 in words is "one trillion, fifty-three billion, six hundred eighty-six million, three hundred eleven thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 349 629 666 698 1047 1258 1887 2094 3141 3774 5661 5933 6282 11322 11866 12913 17799 25826 35598 38739 53397 77478 106794 116217 219521 232434 266663 439042 533326 658563 799989 1317126 1599978 1975689 2399967 3951378 4533271 4799934 9066542 9866531 13599813 19733062 27199626 29599593 40799439 59199186 81598878 88798779 93065387 167731027 177597558 186130774 279196161 335462054 503193081 558392322 837588483 1006386162 1509579243 1582111579 1675176966 3019158486 3164223158 3443419319 4746334737 6886838638 9492669474 10330257957 14239004211 20660515914 28478008422 30990773871 58538128423 61981547742 117076256846 175614385269 351228770538 526843155807 1053686311614