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4666133120 = 275112572579
BaseRepresentation
bin1000101100001111…
…11000101010000000
3110001012011010022012
410112013320222000
534024012224440
62051003232052
7223426322435
oct42607705200
913035133265
104666133120
111a84a01970
12aa2818628
13594933a1c
143239d3b8c
151c49a7e65
hex1161f8a80

4666133120 has 128 divisors (see below), whose sum is σ = 12221150400. Its totient is φ = 1689518080.

The previous prime is 4666133099. The next prime is 4666133161. The reversal of 4666133120 is 213316664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1807991 + ... + 1810569.

Almost surely, 24666133120 is an apocalyptic number.

4666133120 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 4666133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110575200).

4666133120 is an abundant number, since it is smaller than the sum of its proper divisors (7555017280).

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

4666133120 is a wasteful number, since it uses less digits than its factorization.

4666133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 4666133120 is about 68309.0998330384. The cubic root of 4666133120 is about 1671.0356228371.

Adding to 4666133120 its reverse (213316664), we get a palindrome (4879449784).

It can be divided in two parts, 46 and 66133120, that added together give a palindrome (66133166).

The spelling of 4666133120 in words is "four billion, six hundred sixty-six million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 257 320 352 440 514 640 704 880 1028 1285 1408 1760 2056 2570 2579 2827 3520 4112 5140 5158 5654 7040 8224 10280 10316 11308 12895 14135 16448 20560 20632 22616 25790 28270 28369 32896 41120 41264 45232 51580 56540 56738 82240 82528 90464 103160 113080 113476 141845 164480 165056 180928 206320 226160 226952 283690 330112 361856 412640 452320 453904 567380 662803 825280 904640 907808 1134760 1325606 1650560 1809280 1815616 2269520 2651212 3314015 3631232 4539040 5302424 6628030 7290833 9078080 10604848 13256060 14581666 18156160 21209696 26512120 29163332 36454165 42419392 53024240 58326664 72908330 84838784 106048480 116653328 145816660 212096960 233306656 291633320 424193920 466613312 583266640 933226624 1166533280 2333066560 4666133120