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5168383272 = 2332137017877
BaseRepresentation
bin1001101000000111…
…10100010100101000
3111100012020001222200
410310003310110220
541041101231042
62212504220200
7242035350543
oct46403642450
914305201880
105168383272
112212465938
121002a6a660
136449c6070
143705b385a
15203b17c4c
hex1340f4528

5168383272 has 96 divisors (see below), whose sum is σ = 15097871880. Its totient is φ = 1587801600.

The previous prime is 5168383261. The next prime is 5168383273. The reversal of 5168383272 is 2723838615.

5168383272 is a `hidden beast` number, since 516 + 8 + 38 + 32 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3628134756 + 1540248516 = 60234^2 + 39246^2 .

It is not an unprimeable number, because it can be changed into a prime (5168383273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652198 + ... + 660074.

Almost surely, 25168383272 is an apocalyptic number.

5168383272 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 5168383272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548935940).

5168383272 is an abundant number, since it is smaller than the sum of its proper divisors (9929488608).

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

5168383272 is a wasteful number, since it uses less digits than its factorization.

5168383272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603 (or 8596 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 5168383272 is about 71891.4687010914. The cubic root of 5168383272 is about 1728.9598335867.

The spelling of 5168383272 in words is "five billion, one hundred sixty-eight million, three hundred eighty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 701 936 1402 2103 2804 4206 5608 6309 7877 8412 9113 12618 15754 16824 18226 23631 25236 27339 31508 36452 47262 50472 54678 63016 70893 72904 82017 94524 102401 109356 141786 164034 189048 204802 218712 283572 307203 328068 409604 567144 614406 656136 819208 921609 1228812 1843218 2457624 3686436 5521777 7372872 11043554 16565331 22087108 33130662 44174216 49695993 66261324 71783101 99391986 132522648 143566202 198783972 215349303 287132404 397567944 430698606 574264808 646047909 861397212 1292095818 1722794424 2584191636 5168383272