Search a number
-
+
859316949043 = 7973734876967
BaseRepresentation
bin11001000000100110100…
…10000001000000110011
310001011001021102221222021
430200103102001000303
5103034340114332133
61454433104252311
7116040450356350
oct14402322010063
93034037387867
10859316949043
11301486019533
1211a65b611097
136305804cca7
142d83c213627
1517545abe52d
hexc813481033

859316949043 has 32 divisors (see below), whose sum is σ = 997046994944. Its totient is φ = 725412713472.

The previous prime is 859316949041. The next prime is 859316949047. The reversal of 859316949043 is 340949613958.

It is a 12-Lehmer number, since φ(859316949043) divides (859316949043-1)12.

It is a cyclic number.

It is not a de Polignac number, because 859316949043 - 21 = 859316949041 is a prime.

It is the 926994-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (859316949041) by changing a digit.

It is a nontrivial repunit in base 926993.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123337546 + ... + 123344512.

It is an arithmetic number, because the mean of its divisors is an integer number (31157718592).

Almost surely, 2859316949043 is an apocalyptic number.

859316949043 is a deficient number, since it is larger than the sum of its proper divisors (137730045901).

859316949043 is a wasteful number, since it uses less digits than its factorization.

859316949043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931.

The product of its (nonzero) digits is 25194240, while the sum is 61.

The spelling of 859316949043 in words is "eight hundred fifty-nine billion, three hundred sixteen million, nine hundred forty-nine thousand, forty-three".

Divisors: 1 7 97 373 487 679 2611 3409 6967 36181 47239 48769 181651 253267 330673 675799 1271557 2598691 3392929 4730593 17620147 18190837 23750503 123341029 252073027 329114113 1265562517 1764511189 2303798791 8858937619 122759564149 859316949043