Search a number
-
+
4480685664 = 253713512899
BaseRepresentation
bin1000010110001000…
…11101011001100000
3102120021012102012220
410023010131121200
533134023420124
62020340351040
7216015125340
oct41304353140
912507172186
104480685664
11199a259504
12a506a5480
135653a34c0
1430711cd20
151b3575879
hex10b11d660

4480685664 has 96 divisors (see below), whose sum is σ = 14476089600. Its totient is φ = 1181716992.

The previous prime is 4480685663. The next prime is 4480685689. The reversal of 4480685664 is 4665860844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480685663) by changing a digit.

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, 247714 + ... + 265185.

It is an arithmetic number, because the mean of its divisors is an integer number (150792600).

Almost surely, 24480685664 is an apocalyptic number.

It is an amenable number.

4480685664 is an abundant number, since it is smaller than the sum of its proper divisors (9995403936).

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

4480685664 is a wasteful number, since it uses less digits than its factorization.

4480685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512932 (or 512924 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The square root of 4480685664 is about 66937.9239594417. The cubic root of 4480685664 is about 1648.5982173286.

The spelling of 4480685664 in words is "four billion, four hundred eighty million, six hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 512899 1025798 1538697 2051596 3077394 3590293 4103192 6154788 6667687 7180586 8206384 10770879 12309576 13335374 14361172 16412768 20003061 21541758 24619152 26670748 28722344 40006122 43083516 46673809 49238304 53341496 57444688 80012244 86167032 93347618 106682992 114889376 140021427 160024488 172334064 186695236 213365984 280042854 320048976 344668128 373390472 560085708 640097952 746780944 1120171416 1493561888 2240342832 4480685664