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5003613467560 = 2351989149496471
BaseRepresentation
bin100100011001111111010…
…0110100111001110101000
3122201100012102111022001001
41020303332212213032220
51123434400021430220
614350343413404344
71024333130505031
oct110637646471650
918640172438031
105003613467560
11165a0253a4194
126898980396b4
132a3ab98ab356
1413426763da88
158a24ea9380a
hex48cfe9a73a8

5003613467560 has 128 divisors (see below), whose sum is σ = 12064269600000. Its totient is φ = 1862215280640.

The previous prime is 5003613467539. The next prime is 5003613467621. The reversal of 5003613467560 is 657643163005.

It is a super-2 number, since 2×50036134675602 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5003613467560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9830125 + ... + 10326595.

It is an arithmetic number, because the mean of its divisors is an integer number (94252106250).

Almost surely, 25003613467560 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 5003613467560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032134800000).

5003613467560 is an abundant number, since it is smaller than the sum of its proper divisors (7060656132440).

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

5003613467560 is a wasteful number, since it uses less digits than its factorization.

5003613467560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496739 (or 496735 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 5003613467560 in words is "five trillion, three billion, six hundred thirteen million, four hundred sixty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 89 95 149 152 178 190 298 356 380 445 596 712 745 760 890 1192 1490 1691 1780 2831 2980 3382 3560 5662 5960 6764 8455 11324 13261 13528 14155 16910 22648 26522 28310 33820 53044 56620 66305 67640 106088 113240 132610 251959 265220 496471 503918 530440 992942 1007836 1259795 1985884 2015672 2482355 2519590 3971768 4964710 5039180 9432949 9929420 10078360 18865898 19858840 37731796 44185919 47164745 73974179 75463592 88371838 94329490 147948358 176743676 188658980 220929595 295896716 353487352 369870895 377317960 441859190 591793432 739741790 839532461 883718380 1405509401 1479483580 1679064922 1767436760 2811018802 2958967160 3358129844 4197662305 5622037604 6583701931 6716259688 7027547005 8395324610 11244075208 13167403862 14055094010 16790649220 26334807724 28110188020 32918509655 33581298440 52669615448 56220376040 65837019310 125090336689 131674038620 250180673378 263348077240 500361346756 625451683445 1000722693512 1250903366890 2501806733780 5003613467560