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4616110980 = 223251317116041
BaseRepresentation
bin1000100110010010…
…00100001110000100
3102220201000201211100
410103021010032010
533423211022410
62042015140100
7222251203335
oct42311041604
912821021740
104616110980
111a59746558
12a89b14630
1358746b520
1431b0d228c
151c03c68c0
hex113244384

4616110980 has 144 divisors (see below), whose sum is σ = 15966450864. Its totient is φ = 1069424640.

The previous prime is 4616110973. The next prime is 4616110987. The reversal of 4616110980 is 890116164.

It is a happy number.

4616110980 is a `hidden beast` number, since 461 + 6 + 110 + 9 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4616110973) and next prime (4616110987).

It can be written as a sum of positive squares in 8 ways, for example, as 205291584 + 4410819396 = 14328^2 + 66414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4616110987) 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 47 ways as a sum of consecutive naturals, for example, 18241 + ... + 97800.

It is an arithmetic number, because the mean of its divisors is an integer number (110878131).

Almost surely, 24616110980 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 4616110980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983225432).

4616110980 is an abundant number, since it is smaller than the sum of its proper divisors (11350339884).

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

4616110980 is a wasteful number, since it uses less digits than its factorization.

4616110980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116086 (or 116081 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4616110980 is about 67941.9677371799. The cubic root of 4616110980 is about 1665.0428471510.

The spelling of 4616110980 in words is "four billion, six hundred sixteen million, one hundred ten thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 116041 232082 348123 464164 580205 696246 1044369 1160410 1392492 1508533 1740615 1972697 2088738 2320820 3017066 3481230 3945394 4177476 4525599 5221845 5918091 6034132 6962460 7542665 7890788 9051198 9863485 10443690 11836182 13576797 15085330 17754273 18102396 19726970 20887380 22627995 23672364 25645061 27153594 29590455 30170660 35508546 39453940 45255990 51290122 54307188 59180910 67883985 71017092 76935183 88771365 90511980 102580244 118361820 128225305 135767970 153870366 177542730 230805549 256450610 271535940 307740732 355085460 384675915 461611098 512901220 769351830 923222196 1154027745 1538703660 2308055490 4616110980