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4794978060 = 223558311887
BaseRepresentation
bin1000111011100110…
…11000111100001100
3110101011121010100000
410131303120330030
534310003244220
62111445004300
7226552432605
oct43563307414
913334533300
104794978060
112040704a94
12b199b3690
135b5536832
14336b72dac
151d0e59390
hex11dcd8f0c

4794978060 has 144 divisors (see below), whose sum is σ = 15266474496. Its totient is φ = 1263148992.

The previous prime is 4794978049. The next prime is 4794978119. The reversal of 4794978060 is 608794974.

It is a happy number.

4794978060 is a `hidden beast` number, since 4 + 79 + 497 + 80 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4794977988 and 4794978006.

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 47 ways as a sum of consecutive naturals, for example, 397437 + ... + 409323.

It is an arithmetic number, because the mean of its divisors is an integer number (106017184).

Almost surely, 24794978060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4794978060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633237248).

4794978060 is an abundant number, since it is smaller than the sum of its proper divisors (10471496436).

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

4794978060 is a wasteful number, since it uses less digits than its factorization.

4794978060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11994 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4794978060 is about 69245.7800880314. The cubic root of 4794978060 is about 1686.2768380660.

The spelling of 4794978060 in words is "four billion, seven hundred ninety-four million, nine hundred seventy-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 243 249 270 324 332 405 415 486 498 540 747 810 830 972 996 1215 1245 1494 1620 1660 2241 2430 2490 2988 3735 4482 4860 4980 6723 7470 8964 11205 11887 13446 14940 20169 22410 23774 26892 33615 35661 40338 44820 47548 59435 67230 71322 80676 100845 106983 118870 134460 142644 178305 201690 213966 237740 320949 356610 403380 427932 534915 641898 713220 962847 986621 1069830 1283796 1604745 1925694 1973242 2139660 2888541 2959863 3209490 3851388 3946484 4814235 4933105 5777082 5919726 6418980 8879589 9628470 9866210 11554164 11839452 14442705 14799315 17759178 19256940 19732420 26638767 28885410 29598630 35518356 44397945 53277534 57770820 59197260 79916301 88795890 106555068 133193835 159832602 177591780 239748903 266387670 319665204 399581505 479497806 532775340 799163010 958995612 1198744515 1598326020 2397489030 4794978060