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1085075335053 = 323125137940883
BaseRepresentation
bin11111100101000111000…
…01111010011110001101
310211201202202200020022100
433302203201322132031
5120234213241210203
62150250550105313
7141252115111563
oct17624341723615
93751682606270
101085075335053
113891a5814356
1215636564b239
137b425a48198
143a737293a33
151d35a5bcea3
hexfca387a78d

1085075335053 has 48 divisors (see below), whose sum is σ = 1628661565440. Its totient is φ = 695402820000.

The previous prime is 1085075335039. The next prime is 1085075335061. The reversal of 1085075335053 is 3505335705801.

1085075335053 is a `hidden beast` number, since 10 + 8 + 5 + 0 + 7 + 533 + 50 + 53 = 666.

It is not a de Polignac number, because 1085075335053 - 26 = 1085075334989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085075335013) 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 47 ways as a sum of consecutive naturals, for example, 26520550 + ... + 26561432.

It is an arithmetic number, because the mean of its divisors is an integer number (33930449280).

Almost surely, 21085075335053 is an apocalyptic number.

It is an amenable number.

1085075335053 is a deficient number, since it is larger than the sum of its proper divisors (543586230387).

1085075335053 is a wasteful number, since it uses less digits than its factorization.

1085075335053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41550 (or 41547 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 1085075335053 in words is "one trillion, eighty-five billion, seventy-five million, three hundred thirty-five thousand, fifty-three".

Divisors: 1 3 9 31 93 251 279 379 753 1137 2259 3411 7781 11749 23343 35247 40883 70029 95129 105741 122649 285387 367947 856161 1267373 2948999 3802119 8846997 10261633 11406357 15494657 26540991 30784899 46483971 92354697 139451913 318110623 480334367 954331869 1441003101 2862995607 3889158907 4323009303 11667476721 35002430163 120563926117 361691778351 1085075335053