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1085190397353 = 34131257397939
BaseRepresentation
bin11111100101010100110…
…00110101110110101001
310211202001210012000010000
433302222120311312221
5120234432220203403
62150310220213213
7141255013116306
oct17625230656651
93752053160100
101085190397353
11389254763367
1215639809a209
137b44383379a
143a7486860ad
151d36574a7a3
hexfcaa635da9

1085190397353 has 40 divisors (see below), whose sum is σ = 1639821601440. Its totient is φ = 715142338560.

The previous prime is 1085190397327. The next prime is 1085190397373. The reversal of 1085190397353 is 3537930915801.

1085190397353 is a `hidden beast` number, since 1 + 0 + 8 + 519 + 0 + 3 + 9 + 73 + 53 = 666.

It is not a de Polignac number, because 1085190397353 - 214 = 1085190380969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1085190397353.

It is not an unprimeable number, because it can be changed into a prime (1085190397373) 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 39 ways as a sum of consecutive naturals, for example, 2528058 + ... + 2925996.

It is an arithmetic number, because the mean of its divisors is an integer number (40995540036).

Almost surely, 21085190397353 is an apocalyptic number.

It is an amenable number.

1085190397353 is a deficient number, since it is larger than the sum of its proper divisors (554631204087).

1085190397353 is a wasteful number, since it uses less digits than its factorization.

1085190397353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398339 (or 398330 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 1085190397353 in words is "one trillion, eighty-five billion, one hundred ninety million, three hundred ninety-seven thousand, three hundred fifty-three".

Divisors: 1 3 9 27 81 131 257 393 771 1179 2313 3537 6939 10611 20817 33667 101001 303003 397939 909009 1193817 2727027 3581451 10744353 32233059 52130009 102270323 156390027 306810969 469170081 920432907 1407510243 2761298721 4222530729 8283896163 13397412313 40192236939 120576710817 361730132451 1085190397353