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5311664144 = 241741211617
BaseRepresentation
bin1001111001001100…
…11001000000010000
3111201011211111101122
410330212121000100
541334241223034
62235023221412
7245425254203
oct47446310020
914634744348
105311664144
112286328986
121042a47868
136685b1847
1438562d93a
152114bb62e
hex13c999010

5311664144 has 60 divisors (see below), whose sum is σ = 11169940212. Its totient is φ = 2438430720.

The previous prime is 5311664143. The next prime is 5311664173. The reversal of 5311664144 is 4414661135.

It can be written as a sum of positive squares in 6 ways, for example, as 1201315600 + 4110348544 = 34660^2 + 64112^2 .

It is not an unprimeable number, because it can be changed into a prime (5311664143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451424 + ... + 463040.

Almost surely, 25311664144 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 5311664144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584970106).

5311664144 is an abundant number, since it is smaller than the sum of its proper divisors (5858276068).

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

5311664144 is a wasteful number, since it uses less digits than its factorization.

5311664144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11724 (or 11677 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 5311664144 is about 72881.1645351527. The cubic root of 5311664144 is about 1744.7914950256.

The spelling of 5311664144 in words is "five billion, three hundred eleven million, six hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 1681 2788 3362 5576 6724 11152 11617 13448 23234 26896 28577 46468 57154 92936 114308 185872 197489 228616 394978 457232 476297 789956 952594 1579912 1905188 3159824 3810376 7620752 8097049 16194098 19528177 32388196 39056354 64776392 78112708 129552784 156225416 312450832 331979009 663958018 1327916036 2655832072 5311664144