Search a number
-
+
10864856743 = 1313935317033
BaseRepresentation
bin10100001111001100…
…01000111010100111
31001001012010220112121
422013212020322213
5134222400403433
64554035330411
7533145521116
oct120746107247
931035126477
1010864856743
114675a23754
122132750a07
131041c2ab20
14750d71c7d
15438c96c2d
hex287988ea7

10864856743 has 16 divisors (see below), whose sum is σ = 11818870560. Its totient is φ = 9928157184.

The previous prime is 10864856711. The next prime is 10864856767. The reversal of 10864856743 is 34765846801.

10864856743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10864856743 - 25 = 10864856711 is a prime.

It is a super-2 number, since 2×108648567432 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864856143) 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, 629355 + ... + 646387.

It is an arithmetic number, because the mean of its divisors is an integer number (738679410).

Almost surely, 210864856743 is an apocalyptic number.

10864856743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10864856743 is a deficient number, since it is larger than the sum of its proper divisors (954013817).

10864856743 is a wasteful number, since it uses less digits than its factorization.

10864856743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17538.

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 10864856743 in words is "ten billion, eight hundred sixty-four million, eight hundred fifty-six thousand, seven hundred forty-three".

Divisors: 1 13 139 353 1807 4589 17033 49067 221429 637871 2367587 6012649 30778631 78164437 835758211 10864856743