Search a number
-
+
55001055105500 = 2253725796093287
BaseRepresentation
bin11001000000101111011100…
…10110100001000111011100
321012202001100002122022012112
430200113232112201013130
524202114130101334000
6312551045204253152
714404460263424510
oct1440275626410734
9235661302568175
1055001055105500
11165858a8806a69
1262036a60a11b8
13248c76727960a
14d820cb164140
15655a84cea235
hex3205ee5a11dc

55001055105500 has 96 divisors (see below), whose sum is σ = 137335887037440. Its totient is φ = 18850189569600.

The previous prime is 55001055105481. The next prime is 55001055105511. The reversal of 55001055105500 is 550155010055.

It is a super-2 number, since 2×550010551055002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5979857 + ... + 12073143.

It is an arithmetic number, because the mean of its divisors is an integer number (1430582156640).

Almost surely, 255001055105500 is an apocalyptic number.

55001055105500 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 55001055105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68667943518720).

55001055105500 is an abundant number, since it is smaller than the sum of its proper divisors (82334831931940).

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

55001055105500 is a wasteful number, since it uses less digits than its factorization.

55001055105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095892 (or 6095880 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 55001055105500 in words is "fifty-five trillion, one billion, fifty-five million, one hundred five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 2579 3500 5158 10316 12895 18053 25790 36106 51580 64475 72212 90265 128950 180530 257900 322375 361060 451325 644750 902650 1289500 1805300 2256625 4513250 6093287 9026500 12186574 24373148 30466435 42653009 60932870 85306018 121865740 152332175 170612036 213265045 304664350 426530090 609328700 761660875 853060180 1066325225 1523321750 2132650450 3046643500 4265300900 5331626125 10663252250 15714587173 21326504500 31429174346 62858348692 78572935865 110002110211 157145871730 220004220422 314291743460 392864679325 440008440844 550010551055 785729358650 1100021102110 1571458717300 1964323396625 2200042204220 2750052755275 3928646793250 5500105510550 7857293586500 11000211021100 13750263776375 27500527552750 55001055105500