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5357624614000 = 245373132127779
BaseRepresentation
bin100110111110110101101…
…0011111101110001110000
3200222011222001220211220021
41031331223103331301300
51200234403400122000
615221131521053224
71062034634552551
oct115755323756160
920864861824807
105357624614000
11178617947019a
12726415787214
132cb2b64a19b9
1414744bac8328
159456dd2011a
hex4df6b4fdc70

5357624614000 has 160 divisors (see below), whose sum is σ = 13142612658240. Its totient is φ = 2112016896000.

The previous prime is 5357624613989. The next prime is 5357624614039. The reversal of 5357624614000 is 4164267535.

It is a congruent number.

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, 192852111 + ... + 192879889.

It is an arithmetic number, because the mean of its divisors is an integer number (82141329114).

Almost surely, 25357624614000 is an apocalyptic number.

5357624614000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5357624614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571306329120).

5357624614000 is an abundant number, since it is smaller than the sum of its proper divisors (7784988044240).

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

5357624614000 is a wasteful number, since it uses less digits than its factorization.

5357624614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29196 (or 29180 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 5357624614000 in words is "five trillion, three hundred fifty-seven billion, six hundred twenty-four million, six hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1321 1460 1825 2000 2642 2920 3650 5284 5840 6605 7300 9125 10568 13210 14600 18250 21136 26420 27779 29200 33025 36500 52840 55558 66050 73000 96433 105680 111116 132100 138895 146000 165125 192866 222232 264200 277790 330250 385732 444464 482165 528400 555580 660500 694475 771464 964330 1111160 1321000 1388950 1542928 1928660 2027867 2222320 2410825 2642000 2777900 3472375 3857320 4055734 4821650 5555800 6944750 7714640 8111468 9643300 10139335 11111600 12054125 13889500 16222936 19286600 20278670 24108250 27779000 32445872 36696059 38573200 40557340 48216500 50696675 55558000 73392118 81114680 96433000 101393350 146784236 162229360 183480295 192866000 202786700 253483375 293568472 366960590 405573400 506966750 587136944 733921180 811146800 917401475 1013933500 1467842360 1834802950 2027867000 2678812307 2935684720 3669605900 4055734000 4587007375 5357624614 7339211800 9174014750 10715249228 13394061535 14678423600 18348029500 21430498456 26788123070 36696059000 42860996912 53576246140 66970307675 73392118000 107152492280 133940615350 214304984560 267881230700 334851538375 535762461400 669703076750 1071524922800 1339406153500 2678812307000 5357624614000