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4428368896 = 21071736341
BaseRepresentation
bin1000001111111001…
…11000110000000000
3102102121202110002211
410013330320300000
533032130301041
62011231151504
7214511341330
oct40774706000
912377673084
104428368896
111972776106
12a37075594
135575b6733
143001c10c0
151adb8e481
hex107f38c00

4428368896 has 88 divisors (see below), whose sum is σ = 10712458656. Its totient is φ = 1786183680.

The previous prime is 4428368873. The next prime is 4428368929. The reversal of 4428368896 is 6988638244.

It is a super-2 number, since 2×44283688962 = 39220902158120517632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4428368896.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103686 + ... + 140026.

Almost surely, 24428368896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4428368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356229328).

4428368896 is an abundant number, since it is smaller than the sum of its proper divisors (6284089760).

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

4428368896 is a wasteful number, since it uses less digits than its factorization.

4428368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36385 (or 36367 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 58.

The square root of 4428368896 is about 66545.9908334078. The cubic root of 4428368896 is about 1642.1567025145.

The spelling of 4428368896 in words is "four billion, four hundred twenty-eight million, three hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1024 1088 1792 1904 2176 3584 3808 4352 7168 7616 8704 15232 17408 30464 36341 60928 72682 121856 145364 254387 290728 508774 581456 617797 1017548 1162912 1235594 2035096 2325824 2471188 4070192 4324579 4651648 4942376 8140384 8649158 9303296 9884752 16280768 17298316 18606592 19769504 32561536 34596632 37213184 39539008 65123072 69193264 79078016 130246144 138386528 158156032 260492288 276773056 316312064 553546112 632624128 1107092224 2214184448 4428368896