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55597848671200 = 25521163110012579
BaseRepresentation
bin11001010010000111000100…
…00001010011001111100000
321021212002202200000121201211
430221003202001103033200
524241403343224434300
6314125144333435504
714465545343143543
oct1451034201231740
9237762680017654
1055597848671200
1116795a08161a60
12629b29b03bb94
132503b15824704
14da2d4362685a
156663633e84ba
hex3290e20533e0

55597848671200 has 144 divisors (see below), whose sum is σ = 148301849324160. Its totient is φ = 20185357248000.

The previous prime is 55597848671191. The next prime is 55597848671227. The reversal of 55597848671200 is 217684879555.

It is a super-2 number, since 2×555978486712002 (a number of 28 digits) contains 22 as substring.

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, 546511 + ... + 10559089.

It is an arithmetic number, because the mean of its divisors is an integer number (1029873953640).

Almost surely, 255597848671200 is an apocalyptic number.

55597848671200 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 55597848671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74150924662080).

55597848671200 is an abundant number, since it is smaller than the sum of its proper divisors (92704000652960).

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

55597848671200 is a wasteful number, since it uses less digits than its factorization.

55597848671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013241 (or 10013228 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 67.

The spelling of 55597848671200 in words is "fifty-five trillion, five hundred ninety-seven billion, eight hundred forty-eight million, six hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 631 800 880 1100 1262 1760 2200 2524 3155 4400 5048 6310 6941 8800 10096 12620 13882 15775 20192 25240 27764 31550 34705 50480 55528 63100 69410 100960 111056 126200 138820 173525 222112 252400 277640 347050 504800 555280 694100 1110560 1388200 2776400 5552800 10012579 20025158 40050316 50062895 80100632 100125790 110138369 160201264 200251580 220276738 250314475 320402528 400503160 440553476 500628950 550691845 801006320 881106952 1001257900 1101383690 1602012640 1762213904 2002515800 2202767380 2753459225 3524427808 4005031600 4405534760 5506918450 6317937349 8010063200 8811069520 11013836900 12635874698 17622139040 22027673800 25271749396 31589686745 44055347600 50543498792 63179373490 69497310839 88110695200 101086997584 126358746980 138994621678 157948433725 202173995168 252717493960 277989243356 315896867450 347486554195 505434987920 555978486712 631793734900 694973108390 1010869975840 1111956973424 1263587469800 1389946216780 1737432770975 2223913946848 2527174939600 2779892433560 3474865541950 5054349879200 5559784867120 6949731083900 11119569734240 13899462167800 27798924335600 55597848671200