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10641380806 = 2719101396091
BaseRepresentation
bin10011110100100011…
…01001010111000110
31000110121122011012001
421322101221113012
5133243143141211
64515533415514
7524463146560
oct117221512706
930417564161
1010641380806
1145708669a1
12208b93a59a
131007844244
1472d3dc330
15424351ac1
hex27a4695c6

10641380806 has 32 divisors (see below), whose sum is σ = 19392664320. Its totient is φ = 4277772000.

The previous prime is 10641380803. The next prime is 10641380821. The reversal of 10641380806 is 60808314601.

10641380806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×106413808063 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10641380801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171180 + ... + 224911.

It is an arithmetic number, because the mean of its divisors is an integer number (606020760).

Almost surely, 210641380806 is an apocalyptic number.

10641380806 is a deficient number, since it is larger than the sum of its proper divisors (8751283514).

10641380806 is a wasteful number, since it uses less digits than its factorization.

10641380806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396220.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 10641380806 in words is "ten billion, six hundred forty-one million, three hundred eighty thousand, eight hundred six".

Divisors: 1 2 7 14 19 38 101 133 202 266 707 1414 1919 3838 13433 26866 396091 792182 2772637 5545274 7525729 15051458 40005191 52680103 80010382 105360206 280036337 560072674 760098629 1520197258 5320690403 10641380806