Search a number
-
+
5273918316 = 2233474012591
BaseRepresentation
bin1001110100101100…
…11001101101101100
3111121112210210212000
410322112121231230
541300110341231
62231154212300
7244456365102
oct47226315554
914545723760
105273918316
112266a97987
121032284090
13660827034
14380605c72
1520d0126e6
hex13a599b6c

5273918316 has 96 divisors (see below), whose sum is σ = 14004264960. Its totient is φ = 1715616000.

The previous prime is 5273918311. The next prime is 5273918327. The reversal of 5273918316 is 6138193725.

5273918316 is a `hidden beast` number, since 527 + 3 + 91 + 8 + 31 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5273918311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2034181 + ... + 2036771.

It is an arithmetic number, because the mean of its divisors is an integer number (145877760).

Almost surely, 25273918316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5273918316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002132480).

5273918316 is an abundant number, since it is smaller than the sum of its proper divisors (8730346644).

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

5273918316 is a wasteful number, since it uses less digits than its factorization.

5273918316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3044 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 5273918316 is about 72621.7482301273. The cubic root of 5273918316 is about 1740.6487117420.

The spelling of 5273918316 in words is "five billion, two hundred seventy-three million, nine hundred eighteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 401 423 564 802 846 1203 1269 1604 1692 2406 2538 2591 3609 4812 5076 5182 7218 7773 10364 10827 14436 15546 18847 21654 23319 31092 37694 43308 46638 56541 69957 75388 93276 113082 121777 139914 169623 226164 243554 279828 339246 365331 487108 508869 678492 730662 1017738 1038991 1095993 1461324 2035476 2077982 2191986 3116973 3287979 4155964 4383972 6233946 6575958 9350919 12467892 13151916 18701838 28052757 37403676 48832577 56105514 97665154 112211028 146497731 195330308 292995462 439493193 585990924 878986386 1318479579 1757972772 2636959158 5273918316