Search a number
-
+
1053412770085 = 51367129241421
BaseRepresentation
bin11110101010001000100…
…10110100000100100101
310201201001010222021112221
433111010102310010211
5114224342132120320
62123533043312341
7136051356543544
oct17250422640445
93651033867487
101053412770085
11376828056695
121501a997b6b1
137844b0b2a40
1438db210a15b
151c605a373aa
hexf5444b4125

1053412770085 has 16 divisors (see below), whose sum is σ = 1361359344240. Its totient is φ = 777890004480.

The previous prime is 1053412770073. The next prime is 1053412770101. The reversal of 1053412770085 is 5800772143501.

It can be written as a sum of positive squares in 8 ways, for example, as 17117273889 + 1036295496196 = 130833^2 + 1017986^2 .

It is not a de Polignac number, because 1053412770085 - 213 = 1053412761893 is a prime.

It is a super-2 number, since 2×10534127700852 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4242675 + ... + 4484095.

It is an arithmetic number, because the mean of its divisors is an integer number (85084959015).

Almost surely, 21053412770085 is an apocalyptic number.

It is an amenable number.

1053412770085 is a deficient number, since it is larger than the sum of its proper divisors (307946574155).

1053412770085 is a wasteful number, since it uses less digits than its factorization.

1053412770085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308568.

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 1053412770085 in words is "one trillion, fifty-three billion, four hundred twelve million, seven hundred seventy thousand, eighty-five".

Divisors: 1 5 13 65 67129 241421 335645 872677 1207105 3138473 4363385 15692365 16206350309 81031751545 210682554017 1053412770085