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640526552752000 = 2753212771881511
BaseRepresentation
bin1001000110100011100011010…
…1101001010101111110000000
310002222220201222202201110101111
42101220320311221111332000
51132423341340001031000
610150141500333413104
7251626342043011435
oct22150706551257600
93088821882643344
10640526552752000
11176100870599052
125ba0a40663a194
132165351935a815
14b425917229b8c
154e0b873ba9cba
hex2468e35a55f80

640526552752000 has 128 divisors (see below), whose sum is σ = 1592584834726080. Its totient is φ = 256198443264000.

The previous prime is 640526552751997. The next prime is 640526552752003. The reversal of 640526552752000 is 257255625046.

It is an interprime number because it is at equal distance from previous prime (640526552751997) and next prime (640526552752003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640526552752003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 339491245 + ... + 341372755.

Almost surely, 2640526552752000 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 640526552752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796292417363040).

640526552752000 is an abundant number, since it is smaller than the sum of its proper divisors (952058281974080).

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

640526552752000 is a wasteful number, since it uses less digits than its factorization.

640526552752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902817 (or 1902795 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 49.

The spelling of 640526552752000 in words is "six hundred forty trillion, five hundred twenty-six billion, five hundred fifty-two million, seven hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 21277 42554 85108 106385 170216 212770 340432 425540 531925 680864 851080 1063850 1361728 1702160 1881511 2127700 2659625 2723456 3404320 3763022 4255400 5319250 6808640 7526044 8510800 9407555 10638500 13617280 15052088 17021600 18815110 21277000 30104176 34043200 37630220 42554000 47037775 60208352 68086400 75260440 85108000 94075550 120416704 150520880 170216000 188151100 235188875 240833408 301041760 340432000 376302200 470377750 602083520 752604400 940755500 1204167040 1505208800 1881511000 3010417600 3763022000 6020835200 7526044000 15052088000 30104176000 40032909547 80065819094 160131638188 200164547735 320263276376 400329095470 640526552752 800658190940 1000822738675 1281053105504 1601316381880 2001645477350 2562106211008 3202632763760 4003290954700 5004113693375 5124212422016 6405265527520 8006581909400 10008227386750 12810531055040 16013163818800 20016454773500 25621062110080 32026327637600 40032909547000 64052655275200 80065819094000 128105310550400 160131638188000 320263276376000 640526552752000