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5644241017000 = 235343647202877
BaseRepresentation
bin101001000100010011011…
…1110110001100010101000
3201222120202212020201000121
41102020212332301202220
51214433401200021000
620000532321213024
71121532361024045
oct122104676614250
921876685221017
105644241017000
1118867889aaa23
12771a84a91174
1331c332611431
1415727b56a1cc
159bc46558b1a
hex52226fb18a8

5644241017000 has 128 divisors (see below), whose sum is σ = 13535630634240. Its totient is φ = 2201772652800.

The previous prime is 5644241016979. The next prime is 5644241017003. The reversal of 5644241017000 is 7101424465.

It is not an unprimeable number, because it can be changed into a prime (5644241017003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27719562 + ... + 27922438.

It is an arithmetic number, because the mean of its divisors is an integer number (105747114330).

Almost surely, 25644241017000 is an apocalyptic number.

5644241017000 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 5644241017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767815317120).

5644241017000 is an abundant number, since it is smaller than the sum of its proper divisors (7891389617240).

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

5644241017000 is a wasteful number, since it uses less digits than its factorization.

5644241017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203588 (or 203574 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 5644241017000 in words is "five trillion, six hundred forty-four billion, two hundred forty-one million, seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 647 860 1000 1075 1294 1720 2150 2588 3235 4300 5176 5375 6470 8600 10750 12940 16175 21500 25880 27821 32350 43000 55642 64700 80875 111284 129400 139105 161750 202877 222568 278210 323500 405754 556420 647000 695525 811508 1014385 1112840 1391050 1623016 2028770 2782100 3477625 4057540 5071925 5564200 6955250 8115080 8723711 10143850 13910500 17447422 20287700 25359625 27821000 34894844 40575400 43618555 50719250 69789688 87237110 101438500 131261419 174474220 202877000 218092775 262522838 348948440 436185550 525045676 656307095 872371100 1050091352 1090463875 1312614190 1744742200 2180927750 2625228380 3281535475 4361855500 5250456760 5644241017 6563070950 8723711000 11288482034 13126141900 16407677375 22576964068 26252283800 28221205085 32815354750 45153928136 56442410170 65630709500 112884820340 131261419000 141106025425 225769640680 282212050850 564424101700 705530127125 1128848203400 1411060254250 2822120508500 5644241017000