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55514207200 = 25521723317519
BaseRepresentation
bin110011101100111001…
…111001001111100000
312022021212202220212011
4303230321321033200
51402143114112300
641300342042304
74003456655404
oct635471711740
9168255686764
1055514207200
11215a8360591
12a913719394
1353092b921a
142988c05104
15169da1deba
hexcece793e0

55514207200 has 144 divisors (see below), whose sum is σ = 144120150720. Its totient is φ = 20808581120.

The previous prime is 55514207197. The next prime is 55514207207. The reversal of 55514207200 is 270241555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55514207207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3160041 + ... + 3177559.

It is an arithmetic number, because the mean of its divisors is an integer number (1000834380).

Almost surely, 255514207200 is an apocalyptic number.

55514207200 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 55514207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72060075360).

55514207200 is an abundant number, since it is smaller than the sum of its proper divisors (88605943520).

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

55514207200 is a wasteful number, since it uses less digits than its factorization.

55514207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17789 (or 17776 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 31.

Adding to 55514207200 its reverse (270241555), we get a palindrome (55784448755).

The spelling of 55514207200 in words is "fifty-five billion, five hundred fourteen million, two hundred seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 233 272 340 400 425 466 544 680 800 850 932 1165 1360 1700 1864 2330 2720 3400 3728 3961 4660 5825 6800 7456 7922 9320 11650 13600 15844 17519 18640 19805 23300 31688 35038 37280 39610 46600 63376 70076 79220 87595 93200 99025 126752 140152 158440 175190 186400 198050 280304 297823 316880 350380 396100 437975 560608 595646 633760 700760 792200 875950 1191292 1401520 1489115 1584400 1751900 2382584 2803040 2978230 3168800 3503800 4081927 4765168 5956460 7007600 7445575 8163854 9530336 11912920 14015200 14891150 16327708 20409635 23825840 29782300 32655416 40819270 47651680 59564600 65310832 69392759 81638540 102048175 119129200 130621664 138785518 163277080 204096350 238258400 277571036 326554160 346963795 408192700 555142072 653108320 693927590 816385400 1110284144 1387855180 1632770800 1734818975 2220568288 2775710360 3265541600 3469637950 5551420720 6939275900 11102841440 13878551800 27757103600 55514207200