Search a number
-
+
813406108181 = 19293517419743
BaseRepresentation
bin10111101011000101100…
…10000011101000010101
32212202112200002121010212
423311202302003220111
5101311323430430211
61421401255455205
7112523650561352
oct13654262035025
92782480077125
10813406108181
11293a665a7247
12111788087505
135b91c51ac74
142b524a05629
151625a21238b
hexbd62c83a15

813406108181 has 16 divisors (see below), whose sum is σ = 885995635200. Its totient is φ = 743809687488.

The previous prime is 813406108169. The next prime is 813406108183. The reversal of 813406108181 is 181801604318.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-813406108181 is a prime.

It is a super-2 number, since 2×8134061081812 (a number of 25 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 (813406108183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1727996 + ... + 2147738.

It is an arithmetic number, because the mean of its divisors is an integer number (55374727200).

Almost surely, 2813406108181 is an apocalyptic number.

It is an amenable number.

813406108181 is a deficient number, since it is larger than the sum of its proper divisors (72589527019).

813406108181 is a wasteful number, since it uses less digits than its factorization.

813406108181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423308.

The product of its (nonzero) digits is 36864, while the sum is 41.

The spelling of 813406108181 in words is "eight hundred thirteen billion, four hundred six million, one hundred eight thousand, one hundred eighty-one".

Divisors: 1 19 29 551 3517 66823 101993 419743 1937867 7975117 12172547 231278393 1476236131 28048486489 42810847799 813406108181