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4666429872 = 2433132812957
BaseRepresentation
bin1000101100010010…
…00001000110110000
3110001012201012101000
410112021001012300
534024101223442
62051013442000
7223431666546
oct42611010660
913035635330
104666429872
111a85094915
12aa2940300
13594a08b10
14323a6dd96
151c4a15d4c
hex1162411b0

4666429872 has 160 divisors (see below), whose sum is σ = 14480948160. Its totient is φ = 1430231040.

The previous prime is 4666429853. The next prime is 4666429879. The reversal of 4666429872 is 2789246664.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4666429879) 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 31 ways as a sum of consecutive naturals, for example, 1576618 + ... + 1579574.

It is an arithmetic number, because the mean of its divisors is an integer number (90505926).

Almost surely, 24666429872 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 4666429872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240474080).

4666429872 is an abundant number, since it is smaller than the sum of its proper divisors (9814518288).

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

4666429872 is a wasteful number, since it uses less digits than its factorization.

4666429872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3256 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 4666429872 is about 68311.2719249173. The cubic root of 4666429872 is about 1671.0710463622.

The spelling of 4666429872 in words is "four billion, six hundred sixty-six million, four hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 281 312 351 432 468 562 624 702 843 936 1124 1404 1686 1872 2248 2529 2808 2957 3372 3653 4496 5058 5616 5914 6744 7306 7587 8871 10116 10959 11828 13488 14612 15174 17742 20232 21918 23656 26613 29224 30348 32877 35484 38441 40464 43836 47312 53226 58448 60696 65754 70968 76882 79839 87672 98631 106452 115323 121392 131508 141936 153764 159678 175344 197262 212904 230646 263016 307528 319356 345969 394524 425808 461292 526032 615056 638712 691938 789048 830917 922584 1037907 1277424 1383876 1578096 1661834 1845168 2075814 2492751 2767752 3323668 4151628 4985502 5535504 6647336 7478253 8303256 9971004 10801921 13294672 14956506 16606512 19942008 21603842 22434759 29913012 32405763 39884016 43207684 44869518 59826024 64811526 86415368 89739036 97217289 119652048 129623052 172830736 179478072 194434578 259246104 291651867 358956144 388869156 518492208 583303734 777738312 1166607468 1555476624 2333214936 4666429872