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56055105601100 = 22522947593693529
BaseRepresentation
bin11001011111011010110001…
…01010000011111001001100
321100110211000200121101200222
430233231120222003321030
524321401324013213400
6315115205432410512
714543563526003414
oct1457553052037114
9240424020541628
1056055105601100
1116951922838231
126353a31546a38
132537c87506418
14dbb11dc37644
156731c6803185
hex32fb58a83e4c

56055105601100 has 144 divisors (see below), whose sum is σ = 128728267113600. Its totient is φ = 21152493035520.

The previous prime is 56055105601069. The next prime is 56055105601111. The reversal of 56055105601100 is 110650155065.

56055105601100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 80479136 + ... + 81172664.

It is an arithmetic number, because the mean of its divisors is an integer number (893946299400).

Almost surely, 256055105601100 is an apocalyptic number.

56055105601100 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 56055105601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64364133556800).

56055105601100 is an abundant number, since it is smaller than the sum of its proper divisors (72673161512500).

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

56055105601100 is a wasteful number, since it uses less digits than its factorization.

56055105601100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694212 (or 694205 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

Adding to 56055105601100 its reverse (110650155065), we get a palindrome (56165755756165).

The spelling of 56055105601100 in words is "fifty-six trillion, fifty-five billion, one hundred five million, six hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 290 470 580 593 725 940 1175 1186 1363 1450 2350 2372 2726 2900 2965 4700 5452 5930 6815 11860 13630 14825 17197 27260 27871 29650 34075 34394 55742 59300 68150 68788 85985 111484 136300 139355 171970 278710 343940 429925 557420 693529 696775 808259 859850 1387058 1393550 1616518 1719700 2774116 2787100 3233036 3467645 4041295 6935290 8082590 13870580 16165180 17338225 20112341 20206475 32595863 34676450 40224682 40412950 65191726 69352900 80449364 80825900 100561705 130383452 162979315 201123410 325958630 402246820 411262697 502808525 651917260 814896575 822525394 945280027 1005617050 1629793150 1645050788 1890560054 2011234100 2056313485 3259586300 3781120108 4112626970 4726400135 8225253940 9452800270 10281567425 11926618213 18905600540 19329346759 20563134850 23632000675 23853236426 38658693518 41126269700 47264001350 47706472852 59633091065 77317387036 94528002700 96646733795 119266182130 193293467590 238532364260 298165455325 386586935180 483233668975 560551056011 596330910650 966467337950 1121102112022 1192661821300 1932934675900 2242204224044 2802755280055 5605510560110 11211021120220 14013776400275 28027552800550 56055105601100