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20168445060 = 223251013110609
BaseRepresentation
bin10010110010001000…
…100000110010000100
31221001120111011102200
4102302020200302010
5312301110220220
613133143434500
71312535645241
oct226210406204
957046434380
1020168445060
11860a61a315
123aaa455a30
131b9556427a
14d948125c8
157d0940890
hex4b2220c84

20168445060 has 72 divisors (see below), whose sum is σ = 61238562840. Its totient is φ = 5372894208.

The previous prime is 20168445029. The next prime is 20168445061. The reversal of 20168445060 is 6054486102.

20168445060 is a `hidden beast` number, since 201 + 6 + 8 + 445 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 631114884 + 19537330176 = 25122^2 + 139776^2 .

It is a super-2 number, since 2×201684450602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20168445061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127036 + ... + 237644.

It is an arithmetic number, because the mean of its divisors is an integer number (850535595).

Almost surely, 220168445060 is an apocalyptic number.

20168445060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20168445060 is an abundant number, since it is smaller than the sum of its proper divisors (41070117780).

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

20168445060 is a wasteful number, since it uses less digits than its factorization.

20168445060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111637 (or 111632 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20168445060 in words is "twenty billion, one hundred sixty-eight million, four hundred forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1013 2026 3039 4052 5065 6078 9117 10130 12156 15195 18234 20260 30390 36468 45585 60780 91170 110609 182340 221218 331827 442436 553045 663654 995481 1106090 1327308 1659135 1990962 2212180 3318270 3981924 4977405 6636540 9954810 19909620 112046917 224093834 336140751 448187668 560234585 672281502 1008422253 1120469170 1344563004 1680703755 2016844506 2240938340 3361407510 4033689012 5042111265 6722815020 10084222530 20168445060