Search a number
-
+
11046330206541 = 337137426614537
BaseRepresentation
bin1010000010111110110010…
…0101101000100101001101
31110010000111202010000201000
42200233230211220211031
52421440341013102131
635254340344410513
72220033234350640
oct240575445504515
943100452100630
1011046330206541
1135797a4473903
1212a4a29776a39
13621883ab8156
142a2906749a57
15142518ca2ce6
hexa0bec96894d

11046330206541 has 32 divisors (see below), whose sum is σ = 18839297998080. Its totient is φ = 6266114304768.

The previous prime is 11046330206449. The next prime is 11046330206557. The reversal of 11046330206541 is 14560203364011.

11046330206541 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 63 + 30 + 20 + 6 + 541 = 666.

It is not a de Polignac number, because 11046330206541 - 222 = 11046326012237 is a prime.

It is a super-2 number, since 2×110463302065412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11046330206496 and 11046330206505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046330206581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213281376 + ... + 213333161.

It is an arithmetic number, because the mean of its divisors is an integer number (588728062440).

Almost surely, 211046330206541 is an apocalyptic number.

It is an amenable number.

11046330206541 is a deficient number, since it is larger than the sum of its proper divisors (7792967791539).

11046330206541 is a wasteful number, since it uses less digits than its factorization.

11046330206541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426614690 (or 426614684 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11046330206541 in words is "eleven trillion, forty-six billion, three hundred thirty million, two hundred six thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 63 137 189 411 959 1233 2877 3699 8631 25893 426614537 1279843611 2986301759 3839530833 8958905277 11518592499 26876715831 58446191569 80630147493 175338574707 409123340983 526015724121 1227370022949 1578047172363 3682110068847 11046330206541