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4489416680 = 235743137201
BaseRepresentation
bin1000010111001011…
…10000111111101000
3102120212121222220212
410023211300333220
533143242313210
62021251440252
7216152261240
oct41345607750
912525558825
104489416680
1119a4182221
12a535b6088
1356713c598
14308352b20
151b41ec805
hex10b970fe8

4489416680 has 64 divisors (see below), whose sum is σ = 11571310080. Its totient is φ = 1535616000.

The previous prime is 4489416671. The next prime is 4489416689. The reversal of 4489416680 is 866149844.

It is an interprime number because it is at equal distance from previous prime (4489416671) and next prime (4489416689).

It is not an unprimeable number, because it can be changed into a prime (4489416689) 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, 102080 + ... + 139280.

It is an arithmetic number, because the mean of its divisors is an integer number (180801720).

Almost surely, 24489416680 is an apocalyptic number.

4489416680 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 4489416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785655040).

4489416680 is an abundant number, since it is smaller than the sum of its proper divisors (7081893400).

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

4489416680 is a wasteful number, since it uses less digits than its factorization.

4489416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37650 (or 37646 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The square root of 4489416680 is about 67003.1094800831. The cubic root of 4489416680 is about 1649.6683361533.

The spelling of 4489416680 in words is "four billion, four hundred eighty-nine million, four hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 431 862 1724 2155 3017 3448 4310 6034 8620 12068 15085 17240 24136 30170 37201 60340 74402 120680 148804 186005 260407 297608 372010 520814 744020 1041628 1302035 1488040 2083256 2604070 5208140 10416280 16033631 32067262 64134524 80168155 112235417 128269048 160336310 224470834 320672620 448941668 561177085 641345240 897883336 1122354170 2244708340 4489416680