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4745360000 = 2754232579
BaseRepresentation
bin1000110101101100…
…00111001010000000
3110020201020021011002
410122312013022000
534204303010000
62102513311132
7225410615543
oct43266071200
913221207132
104745360000
1120156a5227
12b052654a8
135a8183234
1433033885a
151cb9078d5
hex11ad87280

4745360000 has 160 divisors (see below), whose sum is σ = 12331677600. Its totient is φ = 1814912000.

The previous prime is 4745359859. The next prime is 4745360003. The reversal of 4745360000 is 635474.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (4745360003) 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 19 ways as a sum of consecutive naturals, for example, 1838711 + ... + 1841289.

It is an arithmetic number, because the mean of its divisors is an integer number (77072985).

Almost surely, 24745360000 is an apocalyptic number.

4745360000 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 4745360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165838800).

4745360000 is an abundant number, since it is smaller than the sum of its proper divisors (7586317600).

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

4745360000 is an equidigital number, since it uses as much as digits as its factorization.

4745360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 4745360000 is about 68886.5734377897. The cubic root of 4745360000 is about 1680.4401718878.

Adding to 4745360000 its reverse (635474), we get a palindrome (4745995474).

The spelling of 4745360000 in words is "four billion, seven hundred forty-five million, three hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 320 368 400 460 500 575 625 640 736 800 920 1000 1150 1250 1472 1600 1840 2000 2300 2500 2579 2875 2944 3200 3680 4000 4600 5000 5158 5750 7360 8000 9200 10000 10316 11500 12895 14375 14720 16000 18400 20000 20632 23000 25790 28750 36800 40000 41264 46000 51580 57500 59317 64475 73600 80000 82528 92000 103160 115000 118634 128950 165056 184000 206320 230000 237268 257900 296585 322375 330112 368000 412640 460000 474536 515800 593170 644750 825280 920000 949072 1031600 1186340 1289500 1482925 1611875 1650560 1840000 1898144 2063200 2372680 2579000 2965850 3223750 3796288 4126400 4745360 5158000 5931700 6447500 7414625 7592576 8252800 9490720 10316000 11863400 12895000 14829250 18981440 20632000 23726800 25790000 29658500 37073125 37962880 41264000 47453600 51580000 59317000 74146250 94907200 103160000 118634000 148292500 189814400 206320000 237268000 296585000 474536000 593170000 949072000 1186340000 2372680000 4745360000