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55505856500 = 22533115592297
BaseRepresentation
bin110011101100011010…
…000010011111110100
312022021022001122211222
4303230122002133310
51402133444402000
641255443045512
74003325665343
oct635432023764
9168238048758
1055505856500
11215a3677586
12a910970898
135307654293
142987a6db5a
15169ce1ea85
hexcec6827f4

55505856500 has 96 divisors (see below), whose sum is σ = 125270046720. Its totient is φ = 21463008000.

The previous prime is 55505856493. The next prime is 55505856521. The reversal of 55505856500 is 565850555.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24163352 + ... + 24165648.

It is an arithmetic number, because the mean of its divisors is an integer number (1304896320).

Almost surely, 255505856500 is an apocalyptic number.

55505856500 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 55505856500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62635023360).

55505856500 is an abundant number, since it is smaller than the sum of its proper divisors (69764190220).

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

55505856500 is a wasteful number, since it uses less digits than its factorization.

55505856500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 44.

The spelling of 55505856500 in words is "fifty-five billion, five hundred five million, eight hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 775 1550 1559 2297 3100 3118 3875 4594 6236 7750 7795 9188 11485 15500 15590 22970 31180 38975 45940 48329 57425 71207 77950 96658 114850 142414 155900 193316 194875 229700 241645 284828 287125 356035 389750 483290 574250 712070 779500 966580 1148500 1208225 1424140 1780175 2416450 3560350 3581023 4832900 6041125 7120700 7162046 8900875 12082250 14324092 17801750 17905115 24164500 35603500 35810230 71620460 89525575 111011713 179051150 222023426 358102300 444046852 447627875 555058565 895255750 1110117130 1790511500 2220234260 2775292825 5550585650 11101171300 13876464125 27752928250 55505856500