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4778684040 = 23351316318793
BaseRepresentation
bin1000111001101010…
…01110111010001000
3110100000221022010210
410130311032322020
534241320342130
62110103441120
7226264100304
oct43465167210
913300838123
104778684040
112032496059
12b144561a0
135b20501c0
14334930d04
151ce7db5b0
hex11cd4ee88

4778684040 has 128 divisors (see below), whose sum is σ = 15534368640. Its totient is φ = 1169012736.

The previous prime is 4778684011. The next prime is 4778684047. The reversal of 4778684040 is 404868774.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4778684047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244884 + ... + 263676.

It is an arithmetic number, because the mean of its divisors is an integer number (121362255).

Almost surely, 24778684040 is an apocalyptic number.

4778684040 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 4778684040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767184320).

4778684040 is an abundant number, since it is smaller than the sum of its proper divisors (10755684600).

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

4778684040 is a wasteful number, since it uses less digits than its factorization.

4778684040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18983 (or 18979 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 4778684040 is about 69128.0264436936. The cubic root of 4778684040 is about 1684.3646005969.

The spelling of 4778684040 in words is "four billion, seven hundred seventy-eight million, six hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 163 195 260 312 326 390 489 520 652 780 815 978 1304 1560 1630 1956 2119 2445 3260 3912 4238 4890 6357 6520 8476 9780 10595 12714 16952 18793 19560 21190 25428 31785 37586 42380 50856 56379 63570 75172 84760 93965 112758 127140 150344 187930 225516 244309 254280 281895 375860 451032 488618 563790 732927 751720 977236 1127580 1221545 1465854 1954472 2255160 2443090 2931708 3063259 3664635 4886180 5863416 6126518 7329270 9189777 9772360 12253036 14658540 15316295 18379554 24506072 29317080 30632590 36759108 39822367 45948885 61265180 73518216 79644734 91897770 119467101 122530360 159289468 183795540 199111835 238934202 318578936 367591080 398223670 477868404 597335505 796447340 955736808 1194671010 1592894680 2389342020 4778684040