Search a number
-
+
1076834683441 = 11172379154967
BaseRepresentation
bin11111010101110000101…
…10010100101000110001
310210221111110102202110101
433222320112110220301
5120120324134332231
62142405132232401
7140540652533326
oct17527026245061
93727443382411
101076834683441
11385757118880
1215484590b701
137a7116b677a
143a194a64b4d
151d026dd8661
hexfab8594a31

1076834683441 has 24 divisors (see below), whose sum is σ = 1281622280256. Its totient is φ = 896454270720.

The previous prime is 1076834683423. The next prime is 1076834683487. The reversal of 1076834683441 is 1443864386701.

1076834683441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1076834683441 - 219 = 1076834159153 is a prime.

It is a super-2 number, since 2×10768346834412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1076834683241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4459861 + ... + 4695106.

It is an arithmetic number, because the mean of its divisors is an integer number (53400928344).

Almost surely, 21076834683441 is an apocalyptic number.

1076834683441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1076834683441 is a deficient number, since it is larger than the sum of its proper divisors (204787596815).

1076834683441 is a wasteful number, since it uses less digits than its factorization.

1076834683441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9155049 (or 9155032 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 1076834683441 in words is "one trillion, seventy-six billion, eight hundred thirty-four million, six hundred eighty-three thousand, four hundred forty-one".

Divisors: 1 11 17 37 187 289 407 629 3179 6919 10693 117623 9154967 100704637 155634439 338733779 1711978829 2645785463 3726071569 5758474243 29103640093 63343216673 97894062131 1076834683441