Search a number
-
+
8130613104 = 243256462591
BaseRepresentation
bin1111001001001111…
…10100111101110000
3202222122011221101200
413210213310331300
5113122414104404
63422443131200
7405325033245
oct74447647560
922878157350
108130613104
1134a2578a69
1216aab13b00
139c7614993
14571b875cc
15328bea839
hex1e49f4f70

8130613104 has 30 divisors (see below), whose sum is σ = 22754424576. Its totient is φ = 2710204320.

The previous prime is 8130613061. The next prime is 8130613109. The reversal of 8130613104 is 4013160318.

8130613104 is a `hidden beast` number, since 8 + 1 + 30 + 613 + 10 + 4 = 666.

It is a super-2 number, since 2×81306131042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130613109) 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 5 ways as a sum of consecutive naturals, for example, 28231152 + ... + 28231439.

Almost surely, 28130613104 is an apocalyptic number.

It is an amenable number.

8130613104 is an abundant number, since it is smaller than the sum of its proper divisors (14623811472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8130613104 is a wasteful number, since it uses less digits than its factorization.

8130613104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56462605 (or 56462596 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8130613104 is about 90169.9124098499. The cubic root of 8130613104 is about 2010.8257214827.

The spelling of 8130613104 in words is "eight billion, one hundred thirty million, six hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 56462591 112925182 169387773 225850364 338775546 451700728 508163319 677551092 903401456 1016326638 1355102184 2032653276 2710204368 4065306552 8130613104