Search a number
-
+
810123076413 = 32729443417119
BaseRepresentation
bin10111100100111110001…
…10010010001100111101
32212110001212111022012200
423302133012102030331
5101233113001421123
61420055421022113
7112346414350230
oct13623706221475
92773055438180
10810123076413
112926313a1952
121110106b4939
135b5182ca111
142b2d29a5417
1516116db2143
hexbc9f19233d

810123076413 has 24 divisors (see below), whose sum is σ = 1383461414400. Its totient is φ = 446964454944.

The previous prime is 810123076403. The next prime is 810123076493. The reversal of 810123076413 is 314670321018.

It is a happy number.

810123076413 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 2 + 3 + 0 + 7 + 641 + 3 = 666.

It is not a de Polignac number, because 810123076413 - 29 = 810123075901 is a prime.

It is a super-3 number, since 3×8101230764133 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810123076403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221706733 + ... + 221710386.

It is an arithmetic number, because the mean of its divisors is an integer number (57644225600).

Almost surely, 2810123076413 is an apocalyptic number.

It is an amenable number.

810123076413 is a deficient number, since it is larger than the sum of its proper divisors (573338337987).

810123076413 is a wasteful number, since it uses less digits than its factorization.

810123076413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443417161 (or 443417158 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 810123076413 in words is "eight hundred ten billion, one hundred twenty-three million, seventy-six thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 443417119 1330251357 3103919833 3990754071 9311759499 12859096451 27935278497 38577289353 90013675157 115731868059 270041025471 810123076413