Search a number
-
+
10935094041 = 3812912
BaseRepresentation
bin10100010111100100…
…00100101100011001
31001020002022100000000
422023302010230121
5134343341002131
65005025003213
7534660523434
oct121362045431
931202270000
1010935094041
114701637003
122152183509
131053650661
1475a41681b
1544001cce6
hex28bc84b19

10935094041 has 27 divisors (see below), whose sum is σ = 16414522293. Its totient is φ = 7284415860.

The previous prime is 10935094021. The next prime is 10935094097. The reversal of 10935094041 is 14049053901.

It is a happy number.

The square root of 10935094041 is 104571.

It is a perfect power (a square), and thus also a powerful number.

10935094041 is a `hidden beast` number, since 109 + 3 + 509 + 4 + 0 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 10935094041 - 27 = 10935093913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10935093987 and 10935094005.

It is not an unprimeable number, because it can be changed into a prime (10935094021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8469606 + ... + 8470896.

Almost surely, 210935094041 is an apocalyptic number.

10935094041 is the 104571-st square number.

10935094041 is the 52286-th centered octagonal number.

It is an amenable number.

10935094041 is a deficient number, since it is larger than the sum of its proper divisors (5479428252).

10935094041 is an frugal number, since it uses more digits than its factorization.

10935094041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 10935094041 by its sum of digits (36), we get a square (393663385476 = 6274262).

The spelling of 10935094041 in words is "ten billion, nine hundred thirty-five million, ninety-four thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 1291 2187 3873 6561 11619 34857 104571 313713 941139 1666681 2823417 5000043 8470251 15000129 45000387 135001161 405003483 1215010449 3645031347 10935094041