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1368789817000 = 235344313212339
BaseRepresentation
bin10011111010110010001…
…110110001011010101000
311211212002022112020010011
4103322302032301122220
5134411240143121000
62524451404101304
7200614613321614
oct23726216613250
94755068466104
101368789817000
11488556192921
121a1344b34834
139c0cb8c3678
144a36d580344
15259131882ba
hex13eb23b16a8

1368789817000 has 128 divisors (see below), whose sum is σ = 3214001980800. Its totient is φ = 545633088000.

The previous prime is 1368789816959. The next prime is 1368789817009. The reversal of 1368789817000 is 7189878631.

It is not an unprimeable number, because it can be changed into a prime (1368789817009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585201831 + ... + 585204169.

It is an arithmetic number, because the mean of its divisors is an integer number (25109390475).

Almost surely, 21368789817000 is an apocalyptic number.

1368789817000 is a gapful number since it is divisible by the number (10) 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 1368789817000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607000990400).

1368789817000 is an abundant number, since it is smaller than the sum of its proper divisors (1845212163800).

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

1368789817000 is a wasteful number, since it uses less digits than its factorization.

1368789817000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 58.

The spelling of 1368789817000 in words is "one trillion, three hundred sixty-eight billion, seven hundred eighty-nine million, eight hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 443 500 886 1000 1321 1772 2215 2339 2642 3544 4430 4678 5284 6605 8860 9356 10568 11075 11695 13210 17720 18712 22150 23390 26420 33025 44300 46780 52840 55375 58475 66050 88600 93560 110750 116950 132100 165125 221500 233900 264200 292375 330250 443000 467800 584750 585203 660500 1036177 1169500 1170406 1321000 2072354 2339000 2340812 2926015 3089819 4144708 4681624 5180885 5852030 6179638 8289416 10361770 11704060 12359276 14630075 15449095 20723540 23408120 24718552 25904425 29260150 30898190 41447080 51808850 58520300 61796380 73150375 77245475 103617700 117040600 123592760 129522125 146300750 154490950 207235400 259044250 292601500 308981900 386227375 518088500 585203000 617963800 772454750 1036177000 1368789817 1544909500 2737579634 3089819000 5475159268 6843949085 10950318536 13687898170 27375796340 34219745425 54751592680 68439490850 136878981700 171098727125 273757963400 342197454250 684394908500 1368789817000