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55461342200 = 235211210122691
BaseRepresentation
bin110011101001110000…
…001110101111111000
312022011012022002201012
4303221300032233320
51402041100422300
641251213013052
74002245426135
oct635160165770
9168135262635
1055461342200
1121580533300
12a8b9a84188
1352cb369a64
142981ba358c
15169907a435
hexce9c0ebf8

55461342200 has 144 divisors (see below), whose sum is σ = 143145447480. Its totient is φ = 19967200000.

The previous prime is 55461342187. The next prime is 55461342203. The reversal of 55461342200 is 224316455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55461342203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2432855 + ... + 2455545.

Almost surely, 255461342200 is an apocalyptic number.

55461342200 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 55461342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71572723740).

55461342200 is an abundant number, since it is smaller than the sum of its proper divisors (87684105280).

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

55461342200 is a wasteful number, since it uses less digits than its factorization.

55461342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22830 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 55461342200 its reverse (224316455), we get a palindrome (55685658655).

The spelling of 55461342200 in words is "fifty-five billion, four hundred sixty-one million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4444 4840 5050 5555 6050 8888 10100 11110 12100 12221 20200 22220 22691 24200 24442 27775 44440 45382 48884 55550 61105 90764 97768 111100 113455 122210 181528 222200 226910 244420 249601 305525 453820 488840 499202 567275 611050 907640 998404 1134550 1222100 1248005 1996808 2269100 2291791 2444200 2496010 2745611 4538200 4583582 4992020 5491222 6240025 9167164 9984040 10982444 11458955 12480050 13728055 18334328 21964888 22917910 24960100 25209701 27456110 45835820 49920200 50419402 54912220 57294775 68640275 91671640 100838804 109824440 114589550 126048505 137280550 201677608 229179100 252097010 274561100 277306711 458358200 504194020 549122200 554613422 630242525 1008388040 1109226844 1260485050 1386533555 2218453688 2520970100 2773067110 5041940200 5546134220 6932667775 11092268440 13865335550 27730671100 55461342200