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4980720640 = 21057219853
BaseRepresentation
bin1001010001101111…
…11100010000000000
3110212010002211020211
410220313330100000
540200031030030
62142122043504
7234266266300
oct45067742000
913763084224
104980720640
11212653a155
12b70049594
13614b6b49c
143536c3600
151e23e912a
hex128dfc400

4980720640 has 132 divisors (see below), whose sum is σ = 13899269196. Its totient is φ = 1707589632.

The previous prime is 4980720607. The next prime is 4980720643. The reversal of 4980720640 is 460270894.

It can be written as a sum of positive squares in 2 ways, for example, as 1268499456 + 3712221184 = 35616^2 + 60928^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4980720593 and 4980720602.

It is not an unprimeable number, because it can be changed into a prime (4980720643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 240954 + ... + 260806.

Almost surely, 24980720640 is an apocalyptic number.

4980720640 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 4980720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949634598).

4980720640 is an abundant number, since it is smaller than the sum of its proper divisors (8918548556).

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

4980720640 is a wasteful number, since it uses less digits than its factorization.

4980720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19892 (or 19867 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 4980720640 is about 70574.2207891805. The cubic root of 4980720640 is about 1707.7752996528.

The spelling of 4980720640 in words is "four billion, nine hundred eighty million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 5120 6272 7168 7840 8960 12544 15680 17920 19853 25088 31360 35840 39706 50176 62720 79412 99265 125440 138971 158824 198530 250880 277942 317648 397060 555884 635296 694855 794120 972797 1111768 1270592 1389710 1588240 1945594 2223536 2541184 2779420 3176480 3891188 4447072 4863985 5082368 5558840 6352960 7782376 8894144 9727970 10164736 11117680 12705920 15564752 17788288 19455940 20329472 22235360 25411840 31129504 35576576 38911880 44470720 50823680 62259008 71153152 77823760 88941440 101647360 124518016 142306304 155647520 177882880 249036032 311295040 355765760 498072064 622590080 711531520 996144128 1245180160 2490360320 4980720640