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6242152378880 = 29511439504937
BaseRepresentation
bin101101011010101110101…
…0001100111001000000000
3211002202002022221221122102
41122311131101213020000
51304232412002111010
621135334420525532
71212660232526105
oct132653521471000
924082068857572
106242152378880
111a97311315810
128499302508a8
1336382b62b4a2
1417819c280aac
15ac58cd55ba5
hex5ad5d467200

6242152378880 has 160 divisors (see below), whose sum is σ = 16364353864320. Its totient is φ = 2264698552320.

The previous prime is 6242152378859. The next prime is 6242152378897. The reversal of 6242152378880 is 888732512426.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12109772 + ... + 12614708.

It is an arithmetic number, because the mean of its divisors is an integer number (102277211652).

Almost surely, 26242152378880 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 6242152378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182176932160).

6242152378880 is an abundant number, since it is smaller than the sum of its proper divisors (10122201485440).

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

6242152378880 is a wasteful number, since it uses less digits than its factorization.

6242152378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505410 (or 505394 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 6242152378880 in words is "six trillion, two hundred forty-two billion, one hundred fifty-two million, three hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 439 440 512 640 704 878 880 1280 1408 1756 1760 2195 2560 2816 3512 3520 4390 4829 5632 7024 7040 8780 9658 14048 14080 17560 19316 24145 28096 28160 35120 38632 48290 56192 70240 77264 96580 112384 140480 154528 193160 224768 280960 309056 386320 504937 561920 618112 772640 1009874 1123840 1236224 1545280 2019748 2472448 2524685 3090560 4039496 5049370 5554307 6181120 8078992 10098740 11108614 12362240 16157984 20197480 22217228 27771535 32315968 40394960 44434456 55543070 64631936 80789920 88868912 111086140 129263872 161579840 177737824 221667343 222172280 258527744 323159680 355475648 443334686 444344560 646319360 710951296 886669372 888689120 1108336715 1292638720 1421902592 1773338744 1777378240 2216673430 2438340773 2843805184 3546677488 3554756480 4433346860 4876681546 7093354976 7109512960 8866693720 9753363092 12191703865 14186709952 14219025920 17733387440 19506726184 24383407730 28373419904 35466774880 39013452368 48766815460 56746839808 70933549760 78026904736 97533630920 113493679616 141867099520 156053809472 195067261840 283734199040 312107618944 390134523680 567468398080 624215237888 780269047360 1248430475776 1560538094720 3121076189440 6242152378880