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20441157030 = 2335731911617
BaseRepresentation
bin10011000010011000…
…110100110110100110
31221202120122100221000
4103002120310312212
5313330414011110
613220204534130
71322356653000
oct230230646646
957676570830
1020441157030
11873a555908
123b65851346
131c09bc95b8
14dbcb21370
157e985e1c0
hex4c2634da6

20441157030 has 256 divisors, whose sum is σ = 66919680000. Its totient is φ = 4425974784.

The previous prime is 20441157029. The next prime is 20441157047. The reversal of 20441157030 is 3075114402.

20441157030 is a `hidden beast` number, since 20 + 4 + 41 + 1 + 570 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20441156985 and 20441157003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1753782 + ... + 1765398.

It is an arithmetic number, because the mean of its divisors is an integer number (261405000).

Almost surely, 220441157030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20441157030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33459840000).

20441157030 is an abundant number, since it is smaller than the sum of its proper divisors (46478522970).

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

20441157030 is a wasteful number, since it uses less digits than its factorization.

20441157030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11673 (or 11653 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20441157030 in words is "twenty billion, four hundred forty-one million, one hundred fifty-seven thousand, thirty".