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20763541980 = 22325115353011
BaseRepresentation
bin10011010101100110…
…101000000111011100
31222121001021012221100
4103111212220013130
5320010431320410
613312202433100
71333353123546
oct232546500734
958531235840
1020763541980
118895529455
124035802790
131c5b93421c
14100d880696
15817ce08c0
hex4d59a81dc

20763541980 has 36 divisors (see below), whose sum is σ = 62982744552. Its totient is φ = 5536944480.

The previous prime is 20763541951. The next prime is 20763542047. The reversal of 20763541980 is 8914536702.

20763541980 is a `hidden beast` number, since 2 + 0 + 7 + 635 + 4 + 1 + 9 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×207635419802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57676326 + ... + 57676685.

It is an arithmetic number, because the mean of its divisors is an integer number (1749520682).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20763541980 = 41527083960, but 3⋅20763541980 = 62290625940 is not.

Almost surely, 220763541980 is an apocalyptic number.

20763541980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20763541980 is an abundant number, since it is smaller than the sum of its proper divisors (42219202572).

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

20763541980 is a wasteful number, since it uses less digits than its factorization.

20763541980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115353026 (or 115353021 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20763541980 in words is "twenty billion, seven hundred sixty-three million, five hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 115353011 230706022 346059033 461412044 576765055 692118066 1038177099 1153530110 1384236132 1730295165 2076354198 2307060220 3460590330 4152708396 5190885495 6921180660 10381770990 20763541980