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4272296348400 = 2435225713853101
BaseRepresentation
bin111110001010111000101…
…101001100101011110000
3120010102112200022102002220
4332022320231030223300
51024444130331122100
613030355453441040
7620443325532063
oct76127055145360
916112480272086
104272296348400
1113a7963a01433
1258bbbb4a0180
1324cb50229292
1410aaccdd48da
15761eb43eaa0
hex3e2b8b4caf0

4272296348400 has 120 divisors (see below), whose sum is σ = 13738841614704. Its totient is φ = 1134845952000.

The previous prime is 4272296348363. The next prime is 4272296348417. The reversal of 4272296348400 is 48436922724.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6618151 + ... + 7234950.

Almost surely, 24272296348400 is an apocalyptic number.

4272296348400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4272296348400 is an abundant number, since it is smaller than the sum of its proper divisors (9466545266304).

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

4272296348400 is a wasteful number, since it uses less digits than its factorization.

4272296348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13853379 (or 13853368 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 4272296348400 in words is "four trillion, two hundred seventy-two billion, two hundred ninety-six million, three hundred forty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 257 300 400 514 600 771 1028 1200 1285 1542 2056 2570 3084 3855 4112 5140 6168 6425 7710 10280 12336 12850 15420 19275 20560 25700 30840 38550 51400 61680 77100 102800 154200 308400 13853101 27706202 41559303 55412404 69265505 83118606 110824808 138531010 166237212 207796515 221649616 277062020 332474424 346327525 415593030 554124040 664948848 692655050 831186060 1038982575 1108248080 1385310100 1662372120 2077965150 2770620200 3324744240 3560246957 4155930300 5541240400 7120493914 8311860600 10680740871 14240987828 16623721200 17801234785 21361481742 28481975656 35602469570 42722963484 53403704355 56963951312 71204939140 85445926968 89006173925 106807408710 142409878280 170891853936 178012347850 213614817420 267018521775 284819756560 356024695700 427229634840 534037043550 712049391400 854459269680 1068074087100 1424098782800 2136148174200 4272296348400