Search a number
-
+
5364806144 = 2917616361
BaseRepresentation
bin1001111111100010…
…00111001000000000
3111211212211101111212
410333301013020000
541441342244034
62244202225252
7246642046145
oct47761071000
914755741455
105364806144
112303325295
1210587b5228
136765ca109
1438c7043cc
15215eb72ce
hex13fc47200

5364806144 has 40 divisors (see below), whose sum is σ = 11349689868. Its totient is φ = 2524610560.

The previous prime is 5364806141. The next prime is 5364806147. The reversal of 5364806144 is 4416084635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5364806141) and next prime (5364806147).

It can be written as a sum of positive squares in 2 ways, for example, as 4398342400 + 966463744 = 66320^2 + 31088^2 .

It is a super-2 number, since 2×53648061442 = 57562289925400297472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5364806141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299477 + ... + 316884.

Almost surely, 25364806144 is an apocalyptic number.

It is an amenable number.

5364806144 is an abundant number, since it is smaller than the sum of its proper divisors (5984883724).

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

5364806144 is an equidigital number, since it uses as much as digits as its factorization.

5364806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616396 (or 616380 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 5364806144 is about 73244.8369784519. The cubic root of 5364806144 is about 1750.5909453505.

The spelling of 5364806144 in words is "five billion, three hundred sixty-four million, eight hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 616361 1232722 2465444 4930888 9861776 10478137 19723552 20956274 39447104 41912548 78894208 83825096 157788416 167650192 315576832 335300384 670600768 1341201536 2682403072 5364806144