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5277319168 = 215115
BaseRepresentation
bin1001110101000110…
…11000000000000000
3111121210012120221111
410322203120000000
541301443203133
62231355133104
7244530321112
oct47243300000
914553176844
105277319168
112268a00000
121033444194
13661447c84
14380c4d3b2
1520d4851cd
hex13a8d8000

5277319168 has 96 divisors (see below), whose sum is σ = 11609918460. Its totient is φ = 2398781440.

The previous prime is 5277319153. The next prime is 5277319171. The reversal of 5277319168 is 8619137725.

It is a happy number.

It is a perfect power (a 5-th power), and thus also a powerful number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 479756283 + ... + 479756293.

Almost surely, 25277319168 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 5277319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804959230).

5277319168 is an abundant number, since it is smaller than the sum of its proper divisors (6332599292).

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

5277319168 is an frugal number, since it uses more digits than its factorization.

5277319168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 13 counting only the distinct ones).

The product of its digits is 635040, while the sum is 49.

The square root of 5277319168 is about 72645.1592881453. The cubic root of 5277319168 is about 1741.0227800235.

The spelling of 5277319168 in words is "five billion, two hundred seventy-seven million, three hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1331 1408 1936 2048 2662 2816 3872 4096 5324 5632 7744 8192 10648 11264 14641 15488 16384 21296 22528 29282 30976 32768 42592 45056 58564 61952 85184 90112 117128 123904 161051 170368 180224 234256 247808 322102 340736 360448 468512 495616 644204 681472 937024 991232 1288408 1362944 1874048 1982464 2576816 2725888 3748096 3964928 5153632 5451776 7496192 10307264 10903552 14992384 20614528 21807104 29984768 41229056 43614208 59969536 82458112 119939072 164916224 239878144 329832448 479756288 659664896 1319329792 2638659584 5277319168