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4660091244 = 2233313737619
BaseRepresentation
bin1000101011100001…
…10101100101101100
3110000202210011102000
410111300311211230
534020440404434
62050225532300
7223324056564
oct42560654554
913022704360
104660091244
111a81555586
12aa07a4090
135935c9953
14322c9dda4
151c41b2b99
hex115c3596c

4660091244 has 96 divisors (see below), whose sum is σ = 12808857600. Its totient is φ = 1462587840.

The previous prime is 4660091239. The next prime is 4660091257. The reversal of 4660091244 is 4421900664.

4660091244 is a `hidden beast` number, since 4 + 6 + 600 + 9 + 1 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4660091199 and 4660091208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105067 + ... + 142685.

It is an arithmetic number, because the mean of its divisors is an integer number (133425600).

Almost surely, 24660091244 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 4660091244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404428800).

4660091244 is an abundant number, since it is smaller than the sum of its proper divisors (8148766356).

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

4660091244 is a wasteful number, since it uses less digits than its factorization.

4660091244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37700 (or 37692 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4660091244 is about 68264.8609754682. The cubic root of 4660091244 is about 1670.3140724270.

The spelling of 4660091244 in words is "four billion, six hundred sixty million, ninety-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 54 62 74 93 108 111 124 148 186 222 279 333 372 444 558 666 837 999 1116 1147 1332 1674 1998 2294 3348 3441 3996 4588 6882 10323 13764 20646 30969 37619 41292 61938 75238 112857 123876 150476 225714 338571 451428 677142 1015713 1166189 1354284 1391903 2031426 2332378 2783806 3498567 4062852 4175709 4664756 5567612 6997134 8351418 10495701 12527127 13994268 16702836 20991402 25054254 31487103 37581381 41982804 43148993 50108508 62974206 75162762 86297986 125948412 129446979 150325524 172595972 258893958 388340937 517787916 776681874 1165022811 1553363748 2330045622 4660091244