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1085461095257 = 711101139573241
BaseRepresentation
bin11111100101110101000…
…01011110001101011001
310211202202122112212211022
433302322201132031121
5120241011020022012
62150353130212225
7141264511035110
oct17627241361531
93752678485738
101085461095257
11389383543740
12156452884075
137b487942166
143a7725ccc77
151d37e3bc472
hexfcba85e359

1085461095257 has 16 divisors (see below), whose sum is σ = 1366701185664. Its totient is φ = 837439440000.

The previous prime is 1085461095253. The next prime is 1085461095259. The reversal of 1085461095257 is 7525901645801.

It is a cyclic number.

It is not a de Polignac number, because 1085461095257 - 22 = 1085461095253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1085461095199 and 1085461095208.

It is not an unprimeable number, because it can be changed into a prime (1085461095253) 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 15 ways as a sum of consecutive naturals, for example, 69778844 + ... + 69794397.

It is an arithmetic number, because the mean of its divisors is an integer number (85418824104).

Almost surely, 21085461095257 is an apocalyptic number.

It is an amenable number.

1085461095257 is a deficient number, since it is larger than the sum of its proper divisors (281240090407).

1085461095257 is a wasteful number, since it uses less digits than its factorization.

1085461095257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139573360.

The product of its (nonzero) digits is 3024000, while the sum is 53.

The spelling of 1085461095257 in words is "one trillion, eighty-five billion, four hundred sixty-one million, ninety-five thousand, two hundred fifty-seven".

Divisors: 1 7 11 77 101 707 1111 7777 139573241 977012687 1535305651 10747139557 14096897341 98678281387 155065870751 1085461095257