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5349415168 = 28294715331
BaseRepresentation
bin1001111101101100…
…11001100100000000
3111210210212110001201
410332312121210000
541423422241133
62242452310544
7246364164406
oct47666314400
914723773051
105349415168
1122a5672879
121053612454
1367336b826
1438a659476
15214976d7d
hex13ed99900

5349415168 has 72 divisors (see below), whose sum is σ = 11281898880. Its totient is φ = 2527365120.

The previous prime is 5349415163. The next prime is 5349415171. The reversal of 5349415168 is 8615149435.

It is not an unprimeable number, because it can be changed into a prime (5349415163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341263 + ... + 356593.

It is an arithmetic number, because the mean of its divisors is an integer number (156693040).

Almost surely, 25349415168 is an apocalyptic number.

5349415168 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5349415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640949440).

5349415168 is an abundant number, since it is smaller than the sum of its proper divisors (5932483712).

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

5349415168 is a wasteful number, since it uses less digits than its factorization.

5349415168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15423 (or 15409 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 5349415168 is about 73139.6962531292. The cubic root of 5349415168 is about 1748.9152644198.

The spelling of 5349415168 in words is "five billion, three hundred forty-nine million, four hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 256 376 464 752 928 1363 1504 1856 2726 3008 3712 5452 6016 7424 10904 12032 15331 21808 30662 43616 61324 87232 122648 174464 245296 348928 444599 490592 720557 889198 981184 1441114 1778396 1962368 2882228 3556792 3924736 5764456 7113584 11528912 14227168 20896153 23057824 28454336 41792306 46115648 56908672 83584612 92231296 113817344 167169224 184462592 334338448 668676896 1337353792 2674707584 5349415168