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55300623400 = 23521142159707
BaseRepresentation
bin110011100000001011…
…001000110000101000
312021201222212201222001
4303200023020300220
51401223424422100
641223232140344
73665254354201
oct634013106050
9167658781861
1055300623400
11214a883a950
12a8740976b4
1352a3c87089
1429686c85a8
151689dced6a
hexce02c8c28

55300623400 has 96 divisors (see below), whose sum is σ = 140598010080. Its totient is φ = 20061216000.

The previous prime is 55300623383. The next prime is 55300623403. The reversal of 55300623400 is 432600355.

It is not an unprimeable number, because it can be changed into a prime (55300623403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896347 + ... + 956053.

It is an arithmetic number, because the mean of its divisors is an integer number (1464562605).

Almost surely, 255300623400 is an apocalyptic number.

55300623400 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 55300623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70299005040).

55300623400 is an abundant number, since it is smaller than the sum of its proper divisors (85297386680).

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

55300623400 is a wasteful number, since it uses less digits than its factorization.

55300623400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60155 (or 60146 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 55300623400 in words is "fifty-five billion, three hundred million, six hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 421 440 550 842 1100 1684 2105 2200 3368 4210 4631 8420 9262 10525 16840 18524 21050 23155 37048 42100 46310 59707 84200 92620 115775 119414 185240 231550 238828 298535 463100 477656 597070 656777 926200 1194140 1313554 1492675 2388280 2627108 2985350 3283885 5254216 5970700 6567770 11941400 13135540 16419425 25136647 26271080 32838850 50273294 65677700 100546588 125683235 131355400 201093176 251366470 276503117 502732940 553006234 628416175 1005465880 1106012468 1256832350 1382515585 2212024936 2513664700 2765031170 5027329400 5530062340 6912577925 11060124680 13825155850 27650311700 55300623400