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4663681792 = 287111032297
BaseRepresentation
bin1000101011111101…
…00010001100000000
3110001000112120201021
410111332202030000
534022400304132
62050434515224
7223366432630
oct42576421400
913030476637
104663681792
111a83588180
12aa1a35b14
13594286033
143235566c0
151c4671997
hex115fa2300

4663681792 has 144 divisors (see below), whose sum is σ = 11723991552. Its totient is φ = 1798594560.

The previous prime is 4663681787. The next prime is 4663681811. The reversal of 4663681792 is 2971863664.

It is a super-4 number, since 4×46636817924 (a number of 40 digits) contains 4444 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2029188 + ... + 2031484.

It is an arithmetic number, because the mean of its divisors is an integer number (81416608).

Almost surely, 24663681792 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 4663681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861995776).

4663681792 is an abundant number, since it is smaller than the sum of its proper divisors (7060309760).

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

4663681792 is a wasteful number, since it uses less digits than its factorization.

4663681792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2420 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 4663681792 is about 68291.1545663126. The cubic root of 4663681792 is about 1670.7429483797.

The spelling of 4663681792 in words is "four billion, six hundred sixty-three million, six hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 103 112 128 154 176 206 224 256 308 352 412 448 616 704 721 824 896 1133 1232 1408 1442 1648 1792 2266 2297 2464 2816 2884 3296 4532 4594 4928 5768 6592 7931 9064 9188 9856 11536 13184 15862 16079 18128 18376 19712 23072 25267 26368 31724 32158 36256 36752 46144 50534 63448 64316 72512 73504 92288 101068 126896 128632 145024 147008 176869 184576 202136 236591 253792 257264 290048 294016 353738 404272 473182 507584 514528 588032 707476 808544 946364 1015168 1029056 1414952 1617088 1656137 1892728 2030336 2058112 2602501 2829904 3234176 3312274 3785456 4116224 5205002 5659808 6468352 6624548 7570912 10410004 11319616 13249096 15141824 18217507 20820008 22639232 26498192 30283648 36435014 41640016 45278464 52996384 60567296 72870028 83280032 105992768 145740056 166560064 211985536 291480112 333120128 423971072 582960224 666240256 1165920448 2331840896 4663681792