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4444905984 = 29331277337
BaseRepresentation
bin1000010001110111…
…11110001000000000
3102110202212121201120
410020323332020000
533100343442414
62013021432240
7215102035401
oct41073761000
912422777646
104444905984
111981040722
12a4070b680
1355ab568ac
143024879a8
151b03592a9
hex108efe200

4444905984 has 160 divisors (see below), whose sum is σ = 12304022016. Its totient is φ = 1424424960.

The previous prime is 4444905977. The next prime is 4444905991. The reversal of 4444905984 is 4895094444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4444905977) and next prime (4444905991).

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 15 ways as a sum of consecutive naturals, for example, 13189464 + ... + 13189800.

Almost surely, 24444905984 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 4444905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152011008).

4444905984 is an abundant number, since it is smaller than the sum of its proper divisors (7859116032).

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

4444905984 is a wasteful number, since it uses less digits than its factorization.

4444905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 4444905984 is about 66670.1281234707. The cubic root of 4444905984 is about 1644.1982936383.

The spelling of 4444905984 in words is "four billion, four hundred forty-four million, nine hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 277 337 372 384 496 512 554 674 744 768 831 992 1011 1108 1348 1488 1536 1662 1984 2022 2216 2696 2976 3324 3968 4044 4432 5392 5952 6648 7936 8088 8587 8864 10447 10784 11904 13296 15872 16176 17174 17728 20894 21568 23808 25761 26592 31341 32352 34348 35456 41788 43136 47616 51522 53184 62682 64704 68696 70912 83576 86272 93349 103044 106368 125364 129408 137392 141824 167152 172544 186698 206088 212736 250728 258816 274784 280047 334304 373396 412176 425472 501456 517632 549568 560094 668608 746792 824352 1002912 1099136 1120188 1337216 1493584 1648704 2005824 2198272 2240376 2674432 2893819 2987168 3297408 4011648 4396544 4480752 5348864 5787638 5974336 6594816 8023296 8681457 8961504 11575276 11948672 13189632 16046592 17362914 17923008 23150552 23897344 34725828 35846016 46301104 47794688 69451656 71692032 92602208 138903312 143384064 185204416 277806624 370408832 555613248 740817664 1111226496 1481635328 2222452992 4444905984