Search a number
-
+
1163441041893 = 341319292005231
BaseRepresentation
bin10000111011100010011…
…111010111000111100101
311010020001012120121120000
4100323202133113013211
5123030211401320033
62250251043131513
7150025103454234
oct20734237270745
94106035517500
101163441041893
1140945a156829
12169596073b99
13859343cb110
144044cd6cb1b
15203e5366a13
hex10ee27d71e5

1163441041893 has 80 divisors (see below), whose sum is σ = 2038117804800. Its totient is φ = 654892076160.

The previous prime is 1163441041891. The next prime is 1163441041913. The reversal of 1163441041893 is 3981401443611.

1163441041893 is a `hidden beast` number, since 1 + 1 + 634 + 4 + 1 + 0 + 4 + 1 + 8 + 9 + 3 = 666.

It is not a de Polignac number, because 1163441041893 - 21 = 1163441041891 is a prime.

It is a super-2 number, since 2×11634410418932 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163441041891) 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 79 ways as a sum of consecutive naturals, for example, 422413 + ... + 1582818.

It is an arithmetic number, because the mean of its divisors is an integer number (25476472560).

Almost surely, 21163441041893 is an apocalyptic number.

1163441041893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1163441041893 is a deficient number, since it is larger than the sum of its proper divisors (874676762907).

1163441041893 is a wasteful number, since it uses less digits than its factorization.

1163441041893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005304 (or 2005295 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1163441041893 in words is "one trillion, one hundred sixty-three billion, four hundred forty-one million, forty-one thousand, eight hundred ninety-three".

Divisors: 1 3 9 13 19 27 29 39 57 81 87 117 171 247 261 351 377 513 551 741 783 1053 1131 1539 1653 2223 2349 3393 4959 6669 7163 10179 14877 20007 21489 30537 44631 64467 193401 580203 2005231 6015693 18047079 26068003 38099389 54141237 58151699 78204009 114298167 162423711 174455097 234612027 342894501 495292057 523365291 703836081 755972087 1028683503 1104882281 1485876171 1570095873 2111508243 2267916261 3086050509 3314646843 4457628513 4710287619 6803748783 9943940529 13372885539 14363469653 20411246349 29831821587 40118656617 43090408959 61233739047 89495464761 129271226877 387813680631 1163441041893