Search a number
-
+
5148923364 = 22321311001973
BaseRepresentation
bin1001100101110011…
…00101010111100100
3111021211121102000100
410302321211113210
541021111021424
62210531144100
7241411061244
oct46271452744
914254542010
105148923364
112202484372
12bb8445030
13640971720
1436bb89b24
15202071dc9
hex132e655e4

5148923364 has 36 divisors (see below), whose sum is σ = 14016514876. Its totient is φ = 1584283968.

The previous prime is 5148923347. The next prime is 5148923369. The reversal of 5148923364 is 4633298415.

5148923364 is a `hidden beast` number, since 514 + 89 + 23 + 36 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2751841764 + 2397081600 = 52458^2 + 48960^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×51489233642 = 53022823616690152992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5148923369) 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 11 ways as a sum of consecutive naturals, for example, 5500519 + ... + 5501454.

Almost surely, 25148923364 is an apocalyptic number.

It is an amenable number.

5148923364 is an abundant number, since it is smaller than the sum of its proper divisors (8867591512).

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

5148923364 is a wasteful number, since it uses less digits than its factorization.

5148923364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001996 (or 11001991 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 5148923364 is about 71755.9988014939. The cubic root of 5148923364 is about 1726.7871544913.

The spelling of 5148923364 in words is "five billion, one hundred forty-eight million, nine hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 11001973 22003946 33005919 44007892 66011838 99017757 132023676 143025649 198035514 286051298 396071028 429076947 572102596 858153894 1287230841 1716307788 2574461682 5148923364