Search a number
-
+
550105501000 = 23531155019091
BaseRepresentation
bin10000000000101001101…
…01111100110101001000
31221120220210112220000211
420000110311330311020
533003104002013000
61100414234010504
754513061415236
oct10002465746510
91846823486024
10550105501000
111a2331239a60
128a745276a34
133cb4aa09113
141c8a7977956
15e4998b77ba
hex8014d7cd48

550105501000 has 128 divisors (see below), whose sum is σ = 1404679086720. Its totient is φ = 199980000000.

The previous prime is 550105500979. The next prime is 550105501007. The reversal of 550105501000 is 105501055.

It is a super-2 number, since 2×5501055010002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (550105501007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60506455 + ... + 60515545.

It is an arithmetic number, because the mean of its divisors is an integer number (10974055365).

Almost surely, 2550105501000 is an apocalyptic number.

550105501000 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 550105501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702339543360).

550105501000 is an abundant number, since it is smaller than the sum of its proper divisors (854573585720).

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

550105501000 is a wasteful number, since it uses less digits than its factorization.

550105501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14624 (or 14610 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

Subtracting from 550105501000 its reverse (105501055), we obtain a palindrome (549999999945).

It can be divided in two parts, 55010 and 5501000, that multiplied together give a square (302610010000 = 5501002).

The spelling of 550105501000 in words is "five hundred fifty billion, one hundred five million, five hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 5501 9091 11000 11002 18182 22004 27505 36364 44008 45455 55010 60511 72728 90910 100001 110020 121022 137525 181820 200002 220040 227275 242044 275050 302555 363640 400004 454550 484088 500005 550100 605110 687625 800008 909100 1000010 1100200 1136375 1210220 1375250 1512775 1818200 2000020 2272750 2420440 2500025 2750500 3025550 4000040 4545500 5000050 5501000 6051100 7563875 9091000 10000100 12102200 12500125 15127750 20000200 25000250 30255500 50000500 50009591 60511000 100001000 100019182 200038364 250047955 400076728 500095910 550105501 1000191820 1100211002 1250239775 2000383640 2200422004 2500479550 2750527505 4400844008 5000959100 5501055010 6251198875 10001918200 11002110020 12502397750 13752637525 22004220040 25004795500 27505275050 50009591000 55010550100 68763187625 110021100200 137526375250 275052750500 550105501000