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55444153200 = 24352139332399
BaseRepresentation
bin110011101000101110…
…101010001101110000
312022002222221210211120
4303220232222031300
51402022200400300
641245400342240
74001646345342
oct635056521560
9168088853746
1055444153200
1121571862a17
12a8b4174980
1352c792bc57
14297d7ab292
1516977d23a0
hexce8baa370

55444153200 has 120 divisors (see below), whose sum is σ = 178884384000. Its totient is φ = 14678695680.

The previous prime is 55444153181. The next prime is 55444153253. The reversal of 55444153200 is 235144455.

55444153200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 601 + ... + 332999.

It is an arithmetic number, because the mean of its divisors is an integer number (1490703200).

Almost surely, 255444153200 is an apocalyptic number.

55444153200 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 55444153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89442192000).

55444153200 is an abundant number, since it is smaller than the sum of its proper divisors (123440230800).

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

55444153200 is a wasteful number, since it uses less digits than its factorization.

55444153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332559 (or 332548 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 55444153200 its reverse (235144455), we get a palindrome (55679297655).

The spelling of 55444153200 in words is "fifty-five billion, four hundred forty-four million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 139 150 200 240 278 300 400 417 556 600 695 834 1112 1200 1390 1668 2085 2224 2780 3336 3475 4170 5560 6672 6950 8340 10425 11120 13900 16680 20850 27800 33360 41700 55600 83400 166800 332399 664798 997197 1329596 1661995 1994394 2659192 3323990 3988788 4985985 5318384 6647980 7977576 8309975 9971970 13295960 15955152 16619950 19943940 24929925 26591920 33239900 39887880 46203461 49859850 66479800 79775760 92406922 99719700 132959600 138610383 184813844 199439400 231017305 277220766 369627688 398878800 462034610 554441532 693051915 739255376 924069220 1108883064 1155086525 1386103830 1848138440 2217766128 2310173050 2772207660 3465259575 3696276880 4620346100 5544415320 6930519150 9240692200 11088830640 13861038300 18481384400 27722076600 55444153200