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556110106050 = 235219238981677
BaseRepresentation
bin10000001011110101011…
…11101100110111000010
31222011102021021102122110
420011322233230313002
533102403141343200
61103250133320150
755114632623352
oct10057257546702
91864367242573
10556110106050
111a4932725674
128b940196056
1340596a27c65
141ccb7224b62
15e6ebb0eb50
hex817abecdc2

556110106050 has 96 divisors (see below), whose sum is σ = 1452365524800. Its totient is φ = 140430447360.

The previous prime is 556110106033. The next prime is 556110106081. The reversal of 556110106050 is 50601011655.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 556110105999 and 556110106017.

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, 6767812 + ... + 6849488.

It is an arithmetic number, because the mean of its divisors is an integer number (15128807550).

Almost surely, 2556110106050 is an apocalyptic number.

556110106050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 556110106050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726182762400).

556110106050 is an abundant number, since it is smaller than the sum of its proper divisors (896255418750).

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

556110106050 is a wasteful number, since it uses less digits than its factorization.

556110106050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84100 (or 84095 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 556110106050 in words is "five hundred fifty-six billion, one hundred ten million, one hundred six thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2389 2850 4778 7167 11945 14334 23890 35835 45391 59725 71670 81677 90782 119450 136173 163354 179175 226955 245031 272346 358350 408385 453910 490062 680865 816770 1134775 1225155 1361730 1551863 2041925 2269550 2450310 3103726 3404325 4083850 4655589 6125775 6808650 7759315 9311178 12251550 15518630 23277945 38796575 46555890 77593150 116389725 195126353 232779450 390252706 585379059 975631765 1170758118 1951263530 2926895295 3707400707 4878158825 5853790590 7414801414 9756317650 11122202121 14634476475 18537003535 22244404242 29268952950 37074007070 55611010605 92685017675 111222021210 185370035350 278055053025 556110106050