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55858028100 = 22352729917209
BaseRepresentation
bin110100000001011001…
…011101111001000100
312100011211201211110120
4310001121131321010
51403344123344400
641354423221540
74015133255610
oct640131357104
9170154654416
1055858028100
1121764445296
12a9aa8a78b0
1353625baa44
1429bc744340
1516bdcd6ca0
hexd0165de44

55858028100 has 144 divisors (see below), whose sum is σ = 191073187200. Its totient is φ = 12327275520.

The previous prime is 55858028059. The next prime is 55858028131. The reversal of 55858028100 is 182085855.

It is a super-2 number, since 2×558580281002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 397705 + ... + 519504.

Almost surely, 255858028100 is an apocalyptic number.

55858028100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55858028100 is an abundant number, since it is smaller than the sum of its proper divisors (135215159100).

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

55858028100 is a wasteful number, since it uses less digits than its factorization.

55858028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917262 (or 917255 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 42.

The spelling of 55858028100 in words is "fifty-five billion, eight hundred fifty-eight million, twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 8700 10150 12180 15225 20300 30450 60900 917209 1834418 2751627 3668836 4586045 5503254 6420463 9172090 11006508 12840926 13758135 18344180 19261389 22930225 25681852 26599061 27516270 32102315 38522778 45860450 53198122 55032540 64204630 68790675 77045556 79797183 91720900 96306945 106396244 128409260 132995305 137581350 159594366 160511575 186193427 192613890 265990610 275162700 319188732 321023150 372386854 385227780 398985915 481534725 531981220 558580281 642046300 664976525 744773708 797971830 930967135 963069450 1117160562 1329953050 1595943660 1861934270 1926138900 1994929575 2234321124 2659906100 2792901405 3723868540 3989859150 4654835675 5585802810 7979718300 9309671350 11171605620 13964507025 18619342700 27929014050 55858028100