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5000016450 = 23521121321191
BaseRepresentation
bin1001010100000011…
…00011001001000010
3110220110102011010110
410222001203021002
540220001011300
62144051412150
7234622303302
oct45201431102
913813364113
105000016450
112136419400
12b765b4056
13618b66220
143560a7602
151e3e5b550
hex12a063242

5000016450 has 144 divisors (see below), whose sum is σ = 14678935488. Its totient is φ = 1118832000.

The previous prime is 5000016409. The next prime is 5000016467. The reversal of 5000016450 is 546100005.

It is a happy number.

It is a super-3 number, since 3×50000164503 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225355 + ... + 246545.

It is an arithmetic number, because the mean of its divisors is an integer number (101937052).

Almost surely, 25000016450 is an apocalyptic number.

5000016450 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 5000016450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339467744).

5000016450 is an abundant number, since it is smaller than the sum of its proper divisors (9678919038).

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

5000016450 is a wasteful number, since it uses less digits than its factorization.

5000016450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21241 (or 21225 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5000016450 is about 70710.7944376246. The cubic root of 5000016450 is about 1709.9778219483.

Adding to 5000016450 its reverse (546100005), we get a palindrome (5546116455).

The spelling of 5000016450 in words is "five billion, sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 121 130 143 150 165 195 242 275 286 325 330 363 390 429 550 605 650 715 726 825 858 975 1210 1430 1573 1650 1815 1950 2145 3025 3146 3575 3630 4290 4719 6050 7150 7865 9075 9438 10725 15730 18150 21191 21450 23595 39325 42382 47190 63573 78650 105955 117975 127146 211910 233101 235950 275483 317865 466202 529775 550966 635730 699303 826449 1059550 1165505 1377415 1398606 1589325 1652898 2331010 2564111 2754830 3030313 3178650 3496515 4132245 5128222 5827525 6060626 6887075 6993030 7692333 8264490 9090939 11655050 12820555 13774150 15151565 15384666 17482575 18181878 20661225 25641110 30303130 33333443 34965150 38461665 41322450 45454695 64102775 66666886 75757825 76923330 90909390 100000329 128205550 151515650 166667215 192308325 200000658 227273475 333334430 384616650 454546950 500001645 833336075 1000003290 1666672150 2500008225 5000016450