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20416535400 = 2335234027559
BaseRepresentation
bin10011000000111010…
…111001101101101000
31221200212022110101210
4103000322321231220
5313303113113100
613213525113120
71321640454552
oct230072715550
957625273353
1020416535400
118727669258
123b595587a0
131c04a886a1
14db97524d2
157e75e8c50
hex4c0eb9b68

20416535400 has 48 divisors (see below), whose sum is σ = 63291261600. Its totient is φ = 5444409280.

The previous prime is 20416535389. The next prime is 20416535411. The reversal of 20416535400 is 453561402.

It is an interprime number because it is at equal distance from previous prime (20416535389) and next prime (20416535411).

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

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, 17013180 + ... + 17014379.

It is an arithmetic number, because the mean of its divisors is an integer number (1318567950).

Almost surely, 220416535400 is an apocalyptic number.

20416535400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20416535400 is an abundant number, since it is smaller than the sum of its proper divisors (42874726200).

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

20416535400 is a wasteful number, since it uses less digits than its factorization.

20416535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34027578 (or 34027569 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 20416535400 in words is "twenty billion, four hundred sixteen million, five hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 34027559 68055118 102082677 136110236 170137795 204165354 272220472 340275590 408330708 510413385 680551180 816661416 850688975 1020826770 1361102360 1701377950 2041653540 2552066925 3402755900 4083307080 5104133850 6805511800 10208267700 20416535400