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4243651680 = 253563114011
BaseRepresentation
bin1111110011110000…
…1111110001100000
3101221202011211201110
43330330033301200
532142333323210
61541032103320
7210106305222
oct37474176140
911852154643
104243651680
111888481354
129a5234b40
135282506c8
142c385a412
1519c853420
hexfcf0fc60

4243651680 has 96 divisors (see below), whose sum is σ = 13389643008. Its totient is φ = 1129766400.

The previous prime is 4243651679. The next prime is 4243651681. The reversal of 4243651680 is 861563424.

It is an interprime number because it is at equal distance from previous prime (4243651679) and next prime (4243651681).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243651681) 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, 295875 + ... + 309885.

It is an arithmetic number, because the mean of its divisors is an integer number (139475448).

Almost surely, 24243651680 is an apocalyptic number.

4243651680 is a gapful number since it is divisible by the number (40) 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 4243651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694821504).

4243651680 is an abundant number, since it is smaller than the sum of its proper divisors (9145991328).

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

4243651680 is a wasteful number, since it uses less digits than its factorization.

4243651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14660 (or 14652 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4243651680 is about 65143.3164645461. The cubic root of 4243651680 is about 1618.9989853091.

The spelling of 4243651680 in words is "four billion, two hundred forty-three million, six hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 631 1262 1893 2524 3155 3786 5048 6310 7572 9465 10096 12620 14011 15144 18930 20192 25240 28022 30288 37860 42033 50480 56044 60576 70055 75720 84066 100960 112088 140110 151440 168132 210165 224176 280220 302880 336264 420330 448352 560440 672528 840660 1120880 1345056 1681320 2241760 3362640 6725280 8840941 17681882 26522823 35363764 44204705 53045646 70727528 88409410 106091292 132614115 141455056 176818820 212182584 265228230 282910112 353637640 424365168 530456460 707275280 848730336 1060912920 1414550560 2121825840 4243651680