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4450126128 = 243778716829
BaseRepresentation
bin1000010010011111…
…11000100100110000
3102111010200211102020
410021033320210300
533103213014003
62013325351440
7215164306440
oct41117704460
912433624366
104450126128
111983a86698
12a42408580
1355bc63936
14303046120
151b0a3ad53
hex1093f8930

4450126128 has 80 divisors (see below), whose sum is σ = 13155943680. Its totient is φ = 1269773568.

The previous prime is 4450126099. The next prime is 4450126139. The reversal of 4450126128 is 8216210544.

It is a happy 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, 256018 + ... + 272846.

It is an arithmetic number, because the mean of its divisors is an integer number (164449296).

Almost surely, 24450126128 is an apocalyptic number.

4450126128 is a gapful number since it is divisible by the number (48) 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 4450126128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577971840).

4450126128 is an abundant number, since it is smaller than the sum of its proper divisors (8705817552).

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

4450126128 is a wasteful number, since it uses less digits than its factorization.

4450126128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17634 (or 17628 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 4450126128 is about 66709.2656832617. The cubic root of 4450126128 is about 1644.8416963791.

The spelling of 4450126128 in words is "four billion, four hundred fifty million, one hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 787 1574 2361 3148 4722 5509 6296 9444 11018 12592 16527 16829 18888 22036 33054 33658 37776 44072 50487 66108 67316 88144 100974 117803 132216 134632 201948 235606 264432 269264 353409 403896 471212 706818 807792 942424 1413636 1884848 2827272 5654544 13244423 26488846 39733269 52977692 79466538 92710961 105955384 158933076 185421922 211910768 278132883 317866152 370843844 556265766 635732304 741687688 1112531532 1483375376 2225063064 4450126128