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2942482754960 = 245717431717133
BaseRepresentation
bin101010110100011001101…
…000111010110110010000
3101102022001200102111020022
4222310121220322312100
5341202201041124320
610131431413203012
7422405315512040
oct52643150726620
911368050374208
102942482754960
11a34999894221
123b6333630468
131846235749b8
14a25ba085720
1551819e62325
hex2ad19a3ad90

2942482754960 has 160 divisors (see below), whose sum is σ = 8297733768192. Its totient is φ = 947302686720.

The previous prime is 2942482754933. The next prime is 2942482754989. The reversal of 2942482754960 is 694572842492.

It is a junction number, because it is equal to n+sod(n) for n = 2942482754893 and 2942482754902.

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, 3744554 + ... + 4461686.

Almost surely, 22942482754960 is an apocalyptic number.

2942482754960 is a gapful number since it is divisible by the number (20) 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 2942482754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148866884096).

2942482754960 is an abundant number, since it is smaller than the sum of its proper divisors (5355251013232).

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

2942482754960 is a wasteful number, since it uses less digits than its factorization.

2942482754960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717601 (or 717595 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 62.

The spelling of 2942482754960 in words is "two trillion, nine hundred forty-two billion, four hundred eighty-two million, seven hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 431 476 560 595 680 862 952 1190 1360 1724 1904 2155 2380 3017 3448 4310 4760 6034 6896 7327 8620 9520 12068 14654 15085 17240 24136 29308 30170 34480 36635 48272 51289 58616 60340 73270 102578 117232 120680 146540 205156 241360 256445 293080 410312 512890 586160 717133 820624 1025780 1434266 2051560 2868532 3585665 4103120 5019931 5737064 7171330 10039862 11474128 12191261 14342660 20079724 24382522 25099655 28685320 40159448 48765044 50199310 57370640 60956305 80318896 85338827 97530088 100398620 121912610 170677654 195060176 200797240 243825220 309084323 341355308 401594480 426694135 487650440 618168646 682710616 853388270 975300880 1236337292 1365421232 1545421615 1706776540 2163590261 2472674584 3090843230 3413553080 4327180522 4945349168 5254433491 6181686460 6827106160 8654361044 10508866982 10817951305 12363372920 17308722088 21017733964 21635902610 24726745840 26272167455 34617444176 36781034437 42035467928 43271805220 52544334910 73562068874 84070935856 86543610440 105088669820 147124137748 173087220880 183905172185 210177339640 294248275496 367810344370 420354679280 588496550992 735620688740 1471241377480 2942482754960