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43384648384 = 2671161144323
BaseRepresentation
bin101000011001111011…
…010011001011000000
311010222112212111020001
4220121323103023000
51202322432222014
631533003325344
73064053266230
oct503173231300
9133875774201
1043384648384
1117443559510
1284a9520854
13412536199c
142157cddcc0
1511ddc0a974
hexa19ed32c0

43384648384 has 112 divisors (see below), whose sum is σ = 109095088896. Its totient is φ = 16625894400.

The previous prime is 43384648379. The next prime is 43384648387. The reversal of 43384648384 is 48384648334.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×433846483842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43384648387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228447 + ... + 372769.

Almost surely, 243384648384 is an apocalyptic number.

43384648384 is a gapful number since it is divisible by the number (44) 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 43384648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54547544448).

43384648384 is an abundant number, since it is smaller than the sum of its proper divisors (65710440512).

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

43384648384 is a wasteful number, since it uses less digits than its factorization.

43384648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144414 (or 144404 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 55.

The spelling of 43384648384 in words is "forty-three billion, three hundred eighty-four million, six hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 154 176 224 244 308 352 427 448 488 616 671 704 854 976 1232 1342 1708 1952 2464 2684 3416 3904 4697 4928 5368 6832 9394 10736 13664 18788 21472 27328 37576 42944 75152 144323 150304 288646 300608 577292 1010261 1154584 1587553 2020522 2309168 3175106 4041044 4618336 6350212 8082088 8803703 9236672 11112871 12700424 16164176 17607406 22225742 25400848 32328352 35214812 44451484 50801696 61625921 64656704 70429624 88902968 96840733 101603392 123251842 140859248 177805936 193681466 246503684 281718496 355611872 387362932 493007368 563436992 677885131 711223744 774725864 986014736 1355770262 1549451728 1972029472 2711540524 3098903456 3944058944 5423081048 6197806912 10846162096 21692324192 43384648384