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5753214336 = 27397257601
BaseRepresentation
bin1010101101110101…
…10001010110000000
3112211221200120101110
411112322301112000
543240310324321
62350515203320
7262366341432
oct52672612600
915757616343
105753214336
1124925a30a1
1211468a6540
13708c1044c
143c812c652
1523a13b176
hex156eb1580

5753214336 has 128 divisors (see below), whose sum is σ = 15525387360. Its totient is φ = 1887436800.

The previous prime is 5753214317. The next prime is 5753214343. The reversal of 5753214336 is 6334123575.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5753214294 and 5753214303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9572436 + ... + 9573036.

Almost surely, 25753214336 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 5753214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762693680).

5753214336 is an abundant number, since it is smaller than the sum of its proper divisors (9772173024).

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

5753214336 is a wasteful number, since it uses less digits than its factorization.

5753214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its digits is 226800, while the sum is 39.

The square root of 5753214336 is about 75849.9461832373. The cubic root of 5753214336 is about 1791.8577028804.

The spelling of 5753214336 in words is "five billion, seven hundred fifty-three million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 257 291 384 388 514 582 601 771 776 1028 1164 1202 1542 1552 1803 2056 2328 2404 3084 3104 3606 4112 4656 4808 6168 6208 7212 8224 9312 9616 12336 12416 14424 16448 18624 19232 24672 24929 28848 32896 37248 38464 49344 49858 57696 58297 74787 76928 98688 99716 115392 116594 149574 154457 174891 199432 230784 233188 299148 308914 349782 398864 463371 466376 598296 617828 699564 797728 926742 932752 1196592 1235656 1399128 1595456 1853484 1865504 2393184 2471312 2798256 3190912 3706968 3731008 4786368 4942624 5596512 7413936 7462016 9572736 9885248 11193024 14827872 14982329 19770496 22386048 29655744 29964658 44946987 59311488 59929316 89893974 119858632 179787948 239717264 359575896 479434528 719151792 958869056 1438303584 1917738112 2876607168 5753214336