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5355767872 = 267135317351
BaseRepresentation
bin1001111110011101…
…01000100001000000
3111211020211012100001
410333032220201000
541432034032442
62243240405344
7246502163410
oct47716504100
914736735301
105355767872
1122a9211744
121055776854
13674784220
1438b430640
152152ce2b7
hex13f3a8840

5355767872 has 112 divisors (see below), whose sum is σ = 13328001792. Its totient is φ = 2078668800.

The previous prime is 5355767869. The next prime is 5355767881. The reversal of 5355767872 is 2787675535.

It is a tau number, because it is divible by the number of its divisors (112).

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, 299997 + ... + 317347.

It is an arithmetic number, because the mean of its divisors is an integer number (119000016).

Almost surely, 25355767872 is an apocalyptic number.

5355767872 is a gapful number since it is divisible by the number (52) 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 5355767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664000896).

5355767872 is an abundant number, since it is smaller than the sum of its proper divisors (7972233920).

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

5355767872 is a wasteful number, since it uses less digits than its factorization.

5355767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17436 (or 17426 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 55.

The square root of 5355767872 is about 73183.1119316472. Note that the first 3 decimals coincide. The cubic root of 5355767872 is about 1749.6072993130.

The spelling of 5355767872 in words is "five billion, three hundred fifty-five million, seven hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 64 91 104 106 112 182 208 212 224 364 371 416 424 448 689 728 742 832 848 1378 1456 1484 1696 2756 2912 2968 3392 4823 5512 5824 5936 9646 11024 11872 17351 19292 22048 23744 34702 38584 44096 69404 77168 121457 138808 154336 225563 242914 277616 308672 451126 485828 555232 902252 919603 971656 1110464 1578941 1804504 1839206 1943312 3157882 3609008 3678412 3886624 6315764 6437221 7218016 7356824 7773248 11954839 12631528 12874442 14436032 14713648 23909678 25263056 25748884 29427296 47819356 50526112 51497768 58854592 83683873 95638712 101052224 102995536 167367746 191277424 205991072 334735492 382554848 411982144 669470984 765109696 1338941968 2677883936 5355767872