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21035786240 = 21357247223
BaseRepresentation
bin10011100101110101…
…001010000000000000
32000022000112122212002
4103211311022000000
5321040130124430
613355205523132
71343200142600
oct234565120000
960260478762
1021035786240
118a15175607
1240b0a134a8
131ca31646c1
141037aaac00
15831b6a845
hex4e5d4a000

21035786240 has 336 divisors, whose sum is σ = 60243305472. Its totient is φ = 7027163136.

The previous prime is 21035786227. The next prime is 21035786243. The reversal of 21035786240 is 4268753012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21035786194 and 21035786203.

It is not an unprimeable number, because it can be changed into a prime (21035786243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94330769 + ... + 94330991.

It is an arithmetic number, because the mean of its divisors is an integer number (179295552).

Almost surely, 221035786240 is an apocalyptic number.

21035786240 is a gapful number since it is divisible by the number (20) 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 21035786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30121652736).

21035786240 is an abundant number, since it is smaller than the sum of its proper divisors (39207519232).

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

21035786240 is an equidigital number, since it uses as much as digits as its factorization.

21035786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 21035786240 in words is "twenty-one billion, thirty-five million, seven hundred eighty-six thousand, two hundred forty".