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11460430641 = 31131101311059
BaseRepresentation
bin10101010110001100…
…00100101100110001
31002120200211012100010
422223012010230301
5141432332240031
65133112445133
7554000024142
oct125306045461
932520735303
1011460430641
114951129190
12227a0a97a9
131108436c0a
147aa0c5ac9
154711dd246
hex2ab184b31

11460430641 has 32 divisors (see below), whose sum is σ = 17225994240. Its totient is φ = 6714417600.

The previous prime is 11460430637. The next prime is 11460430669. The reversal of 11460430641 is 14603406411.

It is not a de Polignac number, because 11460430641 - 22 = 11460430637 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 11460430599 and 11460430608.

It is not an unprimeable number, because it can be changed into a prime (11460430141) 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, 1030770 + ... + 1041828.

It is an arithmetic number, because the mean of its divisors is an integer number (538312320).

Almost surely, 211460430641 is an apocalyptic number.

11460430641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11460430641 is a deficient number, since it is larger than the sum of its proper divisors (5765563599).

11460430641 is a wasteful number, since it uses less digits than its factorization.

11460430641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12117.

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 11460430641 in words is "eleven billion, four hundred sixty million, four hundred thirty thousand, six hundred forty-one".

Divisors: 1 3 11 31 33 93 341 1013 1023 3039 11059 11143 31403 33177 33429 94209 121649 342829 345433 364947 1028487 1036299 3771119 11202767 11313357 33608301 123230437 347285777 369691311 1041857331 3820143547 11460430641