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55050055110 = 2345157143261
BaseRepresentation
bin110011010001001111…
…010010110111000110
312021002112101112220000
4303101033102313012
51400220303230420
641142321422130
73656122514331
oct632117226706
9167075345800
1055050055110
112138a359216
12a80419a946
1352640a5b0b
142943301618
151672dd7690
hexcd13d2dc6

55050055110 has 80 divisors (see below), whose sum is σ = 148121127792. Its totient is φ = 14670331200.

The previous prime is 55050055063. The next prime is 55050055117. The reversal of 55050055110 is 1155005055.

55050055110 is a `hidden beast` number, since 5 + 50 + 50 + 0 + 551 + 10 = 666.

It is a super-2 number, since 2×550500551102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55050055117) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1250880 + ... + 1294140.

Almost surely, 255050055110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55050055110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74060563896).

55050055110 is an abundant number, since it is smaller than the sum of its proper divisors (93071072682).

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

55050055110 is a wasteful number, since it uses less digits than its factorization.

55050055110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44851 (or 44842 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 55050055110 in words is "fifty-five billion, fifty million, fifty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1571 3142 4713 7855 9426 14139 15710 23565 28278 42417 43261 47130 70695 84834 86522 127251 129783 141390 212085 216305 254502 259566 389349 424170 432610 636255 648915 778698 1168047 1272510 1297830 1946745 2336094 3504141 3893490 5840235 7008282 11680470 17520705 35041410 67963031 135926062 203889093 339815155 407778186 611667279 679630310 1019445465 1223334558 1835001837 2038890930 3058336395 3670003674 5505005511 6116672790 9175009185 11010011022 18350018370 27525027555 55050055110