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4945061760 = 27354754799
BaseRepresentation
bin1001001101011111…
…11010011110000000
3110202122000011110120
410212233322132000
540111413434020
62134405500240
7233354221452
oct44657723600
913678004416
104945061760
1121083a4101
12b60111680
1360a664862
1434ca802d2
151de203740
hex126bfa780

4945061760 has 128 divisors (see below), whose sum is σ = 16098048000. Its totient is φ = 1290602496.

The previous prime is 4945061669. The next prime is 4945061851. The reversal of 4945061760 is 671605494.

It is an interprime number because it is at equal distance from previous prime (4945061669) and next prime (4945061851).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 62841 + ... + 117639.

It is an arithmetic number, because the mean of its divisors is an integer number (125766000).

Almost surely, 24945061760 is an apocalyptic number.

4945061760 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 4945061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049024000).

4945061760 is an abundant number, since it is smaller than the sum of its proper divisors (11152986240).

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

4945061760 is a wasteful number, since it uses less digits than its factorization.

4945061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54868 (or 54856 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 4945061760 is about 70321.1330966730. The cubic root of 4945061760 is about 1703.6899962845.

The spelling of 4945061760 in words is "four billion, nine hundred forty-five million, sixty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2820 3008 3760 4512 5640 6016 7520 9024 11280 15040 18048 22560 30080 45120 54799 90240 109598 164397 219196 273995 328794 438392 547990 657588 821985 876784 1095980 1315176 1643970 1753568 2191960 2575553 2630352 3287940 3507136 4383920 5151106 5260704 6575880 7014272 7726659 8767840 10302212 10521408 12877765 13151760 15453318 17535680 20604424 21042816 25755530 26303520 30906636 35071360 38633295 41208848 51511060 52607040 61813272 77266590 82417696 103022120 105214080 123626544 154533180 164835392 206044240 247253088 309066360 329670784 412088480 494506176 618132720 824176960 989012352 1236265440 1648353920 2472530880 4945061760