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1085112545441 = 3773401744741
BaseRepresentation
bin11111100101001011011…
…11110111000010100001
310211201212100200201100212
433302211233313002201
5120234302302423231
62150254355423505
7141253046310641
oct17624557670241
93751770621325
101085112545441
1138921481a041
12156375bb4b95
137b430676072
143a73c1bc521
151d35d9bd42b
hexfca5bf70a1

1085112545441 has 8 divisors (see below), whose sum is σ = 1129706214504. Its totient is φ = 1041322366080.

The previous prime is 1085112545401. The next prime is 1085112545443. The reversal of 1085112545441 is 1445452115801.

It can be written as a sum of positive squares in 4 ways, for example, as 501830560000 + 583281985441 = 708400^2 + 763729^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1085112545441 - 222 = 1085108351137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1085112545443) 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 7 ways as a sum of consecutive naturals, for example, 200869670 + ... + 200875071.

It is an arithmetic number, because the mean of its divisors is an integer number (141213276813).

Almost surely, 21085112545441 is an apocalyptic number.

It is an amenable number.

1085112545441 is a deficient number, since it is larger than the sum of its proper divisors (44593669063).

1085112545441 is an equidigital number, since it uses as much as digits as its factorization.

1085112545441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401744851.

The product of its (nonzero) digits is 128000, while the sum is 41.

The spelling of 1085112545441 in words is "one trillion, eighty-five billion, one hundred twelve million, five hundred forty-five thousand, four hundred forty-one".

Divisors: 1 37 73 2701 401744741 14864555417 29327366093 1085112545441