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4483509680 = 2451311533739
BaseRepresentation
bin1000010110011110…
…01110110110110000
3102120110111220001002
410023033032312300
533140234302210
62020521101132
7216051126536
oct41317166660
912513456032
104483509680
1119a0908201
12a516277a8
13565b51a10
14307656156
151b39324a5
hex10b3cedb0

4483509680 has 80 divisors (see below), whose sum is σ = 11238759840. Its totient is φ = 1653571584.

The previous prime is 4483509659. The next prime is 4483509689. The reversal of 4483509680 is 869053844.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4483509689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197251 + ... + 1200989.

It is an arithmetic number, because the mean of its divisors is an integer number (140484498).

Almost surely, 24483509680 is an apocalyptic number.

4483509680 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 4483509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619379920).

4483509680 is an abundant number, since it is smaller than the sum of its proper divisors (6755250160).

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

4483509680 is a wasteful number, since it uses less digits than its factorization.

4483509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 4483509680 is about 66959.0149270432. The cubic root of 4483509680 is about 1648.9444954308.

The spelling of 4483509680 in words is "four billion, four hundred eighty-three million, five hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1153 2306 3739 4612 5765 7478 9224 11530 14956 14989 18448 18695 23060 29912 29978 37390 46120 48607 59824 59956 74780 74945 92240 97214 119912 149560 149890 194428 239824 243035 299120 299780 388856 486070 599560 777712 972140 1199120 1944280 3888560 4311067 8622134 17244268 21555335 34488536 43110670 56043871 68977072 86221340 112087742 172442680 224175484 280219355 344885360 448350968 560438710 896701936 1120877420 2241754840 4483509680