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55521310500 = 22325316377537
BaseRepresentation
bin110011101101010100…
…111111011100100100
312022022101010210202100
4303231110333130210
51402201423414000
641301154212100
74003604231625
oct635524773444
9168271123670
1055521310500
1121601372387
12a915b84030
13530a905466
142989b33a4c
15169e473a00
hexced53f724

55521310500 has 144 divisors (see below), whose sum is σ = 175281475824. Its totient is φ = 14794675200.

The previous prime is 55521310451. The next prime is 55521310543. The reversal of 55521310500 is 501312555.

55521310500 is a `hidden beast` number, since 5 + 552 + 1 + 3 + 105 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36505452096 + 19015858404 = 191064^2 + 137898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7362732 + ... + 7370268.

It is an arithmetic number, because the mean of its divisors is an integer number (1217232471).

Almost surely, 255521310500 is an apocalyptic number.

55521310500 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 55521310500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87640737912).

55521310500 is an abundant number, since it is smaller than the sum of its proper divisors (119760165324).

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

55521310500 is a wasteful number, since it uses less digits than its factorization.

55521310500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9199 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 55521310500 in words is "fifty-five billion, five hundred twenty-one million, three hundred ten thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 1637 2250 3274 4500 4911 6548 7537 8185 9822 14733 15074 16370 19644 22611 24555 29466 30148 32740 37685 40925 45222 49110 58932 67833 73665 75370 81850 90444 98220 113055 122775 135666 147330 150740 163700 188425 204625 226110 245550 271332 294660 339165 368325 376850 409250 452220 491100 565275 613875 678330 736650 753700 818500 942125 1130550 1227750 1356660 1473300 1695825 1841625 1884250 2261100 2455500 2826375 3391650 3683250 3768500 5652750 6783300 7366500 8479125 11305500 12338069 16958250 24676138 33916500 37014207 49352276 61690345 74028414 111042621 123380690 148056828 185071035 222085242 246761380 308451725 370142070 444170484 555213105 616903450 740284140 925355175 1110426210 1233806900 1542258625 1850710350 2220852420 2776065525 3084517250 3701420700 4626775875 5552131050 6169034500 9253551750 11104262100 13880327625 18507103500 27760655250 55521310500