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4740475680 = 2532519173263
BaseRepresentation
bin1000110101000110…
…11110101100100000
3110020101001010010100
410122203132230200
534202030210210
62102220502400
7225321243543
oct43243365440
913211033110
104740475680
1120129695a6
12b036aaa00
135a7162cc5
1432d82685a
151cb2905c0
hex11a8deb20

4740475680 has 144 divisors (see below), whose sum is σ = 17028385920. Its totient is φ = 1197586944.

The previous prime is 4740475609. The next prime is 4740475709. The reversal of 4740475680 is 865740474.

4740475680 is a `hidden beast` number, since 4 + 7 + 40 + 47 + 568 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 59272 + ... + 113991.

It is an arithmetic number, because the mean of its divisors is an integer number (118252680).

Almost surely, 24740475680 is an apocalyptic number.

4740475680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4740475680 is an abundant number, since it is smaller than the sum of its proper divisors (12287910240).

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

4740475680 is a wasteful number, since it uses less digits than its factorization.

4740475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173303 (or 173292 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4740475680 is about 68851.1124093141. The cubic root of 4740475680 is about 1679.8634242715.

The spelling of 4740475680 in words is "four billion, seven hundred forty million, four hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 173263 346526 519789 693052 866315 1039578 1386104 1559367 1732630 2079156 2598945 2772208 3118734 3291997 3465260 4158312 5197890 5544416 6237468 6583994 6930520 7796835 8316624 9875991 10395780 12474936 13167988 13861040 15593670 16459985 16633248 19751982 20791560 24949872 26335976 27722080 29627973 31187340 32919970 39503964 41583120 49379955 49899744 52671952 59255946 62374680 65839940 79007928 83166240 98759910 105343904 118511892 124749360 131679880 148139865 158015856 197519820 237023784 249498720 263359760 296279730 316031712 395039640 474047568 526719520 592559460 790079280 948095136 1185118920 1580158560 2370237840 4740475680