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5317549350 = 235231237997
BaseRepresentation
bin1001111001111001…
…10101110100100110
3111201120220111101020
410330330311310212
541342243034400
62235353312010
7245526265221
oct47474656446
914646814336
105317549350
112289688593
121044a05606
13669892509
143863225b8
15211c802a0
hex13cf35d26

5317549350 has 144 divisors (see below), whose sum is σ = 14008973904. Its totient is φ = 1333843200.

The previous prime is 5317549343. The next prime is 5317549427. The reversal of 5317549350 is 539457135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5333052 + ... + 5334048.

It is an arithmetic number, because the mean of its divisors is an integer number (97284541).

Almost surely, 25317549350 is an apocalyptic number.

5317549350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5317549350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004486952).

5317549350 is an abundant number, since it is smaller than the sum of its proper divisors (8691424554).

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

5317549350 is a wasteful number, since it uses less digits than its factorization.

5317549350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The square root of 5317549350 is about 72921.5287140910. The cubic root of 5317549350 is about 1745.4356539321.

The spelling of 5317549350 in words is "five billion, three hundred seventeen million, five hundred forty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 37 50 62 74 75 93 111 150 155 185 186 222 310 370 465 555 775 925 930 961 997 1110 1147 1550 1850 1922 1994 2294 2325 2775 2883 2991 3441 4650 4805 4985 5550 5735 5766 5982 6882 9610 9970 11470 14415 14955 17205 24025 24925 28675 28830 29910 30907 34410 35557 36889 48050 49850 57350 61814 71114 72075 73778 74775 86025 92721 106671 110667 144150 149550 154535 172050 177785 184445 185442 213342 221334 309070 355570 368890 463605 533355 553335 772675 888925 922225 927210 958117 1066710 1106670 1143559 1545350 1777850 1844450 1916234 2287118 2318025 2666775 2766675 2874351 3430677 4636050 4790585 5333550 5533350 5717795 5748702 6861354 9581170 11435590 14371755 17153385 23952925 28588975 28743510 34306770 35450329 47905850 57177950 70900658 71858775 85766925 106350987 143717550 171533850 177251645 212701974 354503290 531754935 886258225 1063509870 1772516450 2658774675 5317549350