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4866681888 = 2532193072897
BaseRepresentation
bin1001000100001001…
…11010110000100000
3110120011112001111100
410202010322300200
534431332310023
62122525514400
7231413053635
oct44204726040
913504461440
104866681888
11207812a152
12b39a12a00
135c7350a33
143424ba18c
151d73bec43
hex12213ac20

4866681888 has 144 divisors (see below), whose sum is σ = 14620525920. Its totient is φ = 1531312128.

The previous prime is 4866681877. The next prime is 4866681889. The reversal of 4866681888 is 8881866684.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4866681889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678456 + ... + 1681352.

It is an arithmetic number, because the mean of its divisors is an integer number (101531430).

Almost surely, 24866681888 is an apocalyptic number.

4866681888 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 4866681888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310262960).

4866681888 is an abundant number, since it is smaller than the sum of its proper divisors (9753844032).

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

4866681888 is a wasteful number, since it uses less digits than its factorization.

4866681888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3228 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The square root of 4866681888 is about 69761.6075502851. The cubic root of 4866681888 is about 1694.6407801166.

The spelling of 4866681888 in words is "four billion, eight hundred sixty-six million, six hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 307 342 456 608 614 684 912 921 1228 1368 1824 1842 2456 2736 2763 2897 3684 4912 5472 5526 5794 5833 7368 8691 9824 11052 11588 11666 14736 17382 17499 22104 23176 23332 26073 29472 34764 34998 44208 46352 46664 52146 52497 55043 69528 69996 88416 92704 93328 104292 104994 110086 139056 139992 165129 186656 208584 209988 220172 278112 279984 330258 417168 419976 440344 495387 559968 660516 834336 839952 880688 889379 990774 1321032 1679904 1761376 1778758 1981548 2642064 2668137 3557516 3963096 5284128 5336274 7115032 7926192 8004411 10672548 14230064 15852384 16008822 16898201 21345096 28460128 32017644 33796402 42690192 50694603 64035288 67592804 85380384 101389206 128070576 135185608 152083809 202778412 256141152 270371216 304167618 405556824 540742432 608335236 811113648 1216670472 1622227296 2433340944 4866681888