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4778138016 = 2532891311423
BaseRepresentation
bin1000111001100110…
…01001100110100000
3110022222220120010200
410130303021212200
534241200404031
62110044025200
7226256334351
oct43463114640
913288816120
104778138016
1120321528a3
12b14232200
135b1bbb802
1433482bd28
151ce72e8e6
hex11ccc99a0

4778138016 has 144 divisors (see below), whose sum is σ = 13855121280. Its totient is φ = 1561697280.

The previous prime is 4778138009. The next prime is 4778138021. The reversal of 4778138016 is 6108318774.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3357081 + ... + 3358503.

It is an arithmetic number, because the mean of its divisors is an integer number (96216120).

Almost surely, 24778138016 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 4778138016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927560640).

4778138016 is an abundant number, since it is smaller than the sum of its proper divisors (9076983264).

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

4778138016 is a wasteful number, since it uses less digits than its factorization.

4778138016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4778138016 is about 69124.0769630959. The cubic root of 4778138016 is about 1684.3004449618.

The spelling of 4778138016 in words is "four billion, seven hundred seventy-eight million, one hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 131 144 178 262 267 288 356 393 524 534 712 786 801 1048 1068 1179 1423 1424 1572 1602 2096 2136 2358 2846 2848 3144 3204 4192 4269 4272 4716 5692 6288 6408 8538 8544 9432 11384 11659 12576 12807 12816 17076 18864 22768 23318 25614 25632 34152 34977 37728 45536 46636 51228 68304 69954 93272 102456 104931 126647 136608 139908 186413 186544 204912 209862 253294 279816 372826 373088 379941 409824 419724 506588 559239 559632 745652 759882 839448 1013176 1118478 1119264 1139823 1491304 1519764 1677717 1678896 2026352 2236956 2279646 2982608 3039528 3355434 3357792 4052704 4473912 4559292 5965216 6079056 6710868 8947824 9118584 12158112 13421736 16590757 17895648 18237168 26843472 33181514 36474336 49772271 53686944 66363028 99544542 132726056 149316813 199089084 265452112 298633626 398178168 530904224 597267252 796356336 1194534504 1592712672 2389069008 4778138016